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Finding the Fourth Proportional to 157,167.46, 216,895.80 and 96,772.96

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Solution

The fourth proportional to 157,167.46, 216,895.80 and 96,772.96 is: 133,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,167.46 : 216,895.80 = 96,772.96 : x
  2. Step 2: Convert to fraction form
    157,167.46/216,895.80 = 96,772.96/x
  3. Step 3: Cross multiply
    157,167.46x = 216,895.80 × 96,772.96
  4. Step 4: Simplify right side
    157,167.46x = 20,989,648,577.57
  5. Step 5: Solve for x
    x = 20,989,648,577.57/157,167.46
  6. Step 6: Final answer
    x = 133,549.58

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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.