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Finding the Fourth Proportional to 157,038.77, 216,711.29 and 85,417.16

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Solution

The fourth proportional to 157,038.77, 216,711.29 and 85,417.16 is: 117,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,038.77 : 216,711.29 = 85,417.16 : x
  2. Step 2: Convert to fraction form
    157,038.77/216,711.29 = 85,417.16/x
  3. Step 3: Cross multiply
    157,038.77x = 216,711.29 × 85,417.16
  4. Step 4: Simplify right side
    157,038.77x = 18,510,861,421.09
  5. Step 5: Solve for x
    x = 18,510,861,421.09/157,038.77
  6. Step 6: Final answer
    x = 117,874.47

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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.