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Finding the Fourth Proportional to 99,752.98, 149,627.85 and 47,200.18

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Solution

The fourth proportional to 99,752.98, 149,627.85 and 47,200.18 is: 70,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,752.98 : 149,627.85 = 47,200.18 : x
  2. Step 2: Convert to fraction form
    99,752.98/149,627.85 = 47,200.18/x
  3. Step 3: Cross multiply
    99,752.98x = 149,627.85 × 47,200.18
  4. Step 4: Simplify right side
    99,752.98x = 7,062,461,453.01
  5. Step 5: Solve for x
    x = 7,062,461,453.01/99,752.98
  6. Step 6: Final answer
    x = 70,799.50

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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.