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Finding the Fourth Proportional to 107,095.92, 147,792.24 and 64,646.16

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Solution

The fourth proportional to 107,095.92, 147,792.24 and 64,646.16 is: 89,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,095.92 : 147,792.24 = 64,646.16 : x
  2. Step 2: Convert to fraction form
    107,095.92/147,792.24 = 64,646.16/x
  3. Step 3: Cross multiply
    107,095.92x = 147,792.24 × 64,646.16
  4. Step 4: Simplify right side
    107,095.92x = 9,554,200,793.80
  5. Step 5: Solve for x
    x = 9,554,200,793.80/107,095.92
  6. Step 6: Final answer
    x = 89,211.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.