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Finding the Fourth Proportional to 97,806,571.20, 146,709,856.80 and 59,542,819.20

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Solution

The fourth proportional to 97,806,571.20, 146,709,856.80 and 59,542,819.20 is: 89,314,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806,571.20 : 146,709,856.80 = 59,542,819.20 : x
  2. Step 2: Convert to fraction form
    97,806,571.20/146,709,856.80 = 59,542,819.20/x
  3. Step 3: Cross multiply
    97,806,571.20x = 146,709,856.80 × 59,542,819.20
  4. Step 4: Simplify right side
    97,806,571.20x = 8,735,518,478,300,292
  5. Step 5: Solve for x
    x = 8,735,518,478,300,292/97,806,571.20
  6. Step 6: Final answer
    x = 89,314,228.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.