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Finding the Fourth Proportional to 157,088.12, 216,787 and 85,470.86

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Solution

The fourth proportional to 157,088.12, 216,787 and 85,470.86 is: 117,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,088.12 : 216,787 = 85,470.86 : x
  2. Step 2: Convert to fraction form
    157,088.12/216,787 = 85,470.86/x
  3. Step 3: Cross multiply
    157,088.12x = 216,787 × 85,470.86
  4. Step 4: Simplify right side
    157,088.12x = 18,528,971,326.82
  5. Step 5: Solve for x
    x = 18,528,971,326.82/157,088.12
  6. Step 6: Final answer
    x = 117,952.72

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