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Finding the Fourth Proportional to 146,728.96, 219,967.14 and 62,411.92

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Solution

The fourth proportional to 146,728.96, 219,967.14 and 62,411.92 is: 93,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,728.96 : 219,967.14 = 62,411.92 : x
  2. Step 2: Convert to fraction form
    146,728.96/219,967.14 = 62,411.92/x
  3. Step 3: Cross multiply
    146,728.96x = 219,967.14 × 62,411.92
  4. Step 4: Simplify right side
    146,728.96x = 13,728,571,544.31
  5. Step 5: Solve for x
    x = 13,728,571,544.31/146,728.96
  6. Step 6: Final answer
    x = 93,564.16

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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.