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Finding the Fourth Proportional to 146,487.90, 219,752.91 and 45,293.84

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Solution

The fourth proportional to 146,487.90, 219,752.91 and 45,293.84 is: 67,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,487.90 : 219,752.91 = 45,293.84 : x
  2. Step 2: Convert to fraction form
    146,487.90/219,752.91 = 45,293.84/x
  3. Step 3: Cross multiply
    146,487.90x = 219,752.91 × 45,293.84
  4. Step 4: Simplify right side
    146,487.90x = 9,953,453,145.07
  5. Step 5: Solve for x
    x = 9,953,453,145.07/146,487.90
  6. Step 6: Final answer
    x = 67,947.27

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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.