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Finding the Fourth Proportional to 157,404.18, 217,218.05 and 85,784.16

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Solution

The fourth proportional to 157,404.18, 217,218.05 and 85,784.16 is: 118,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,404.18 : 217,218.05 = 85,784.16 : x
  2. Step 2: Convert to fraction form
    157,404.18/217,218.05 = 85,784.16/x
  3. Step 3: Cross multiply
    157,404.18x = 217,218.05 × 85,784.16
  4. Step 4: Simplify right side
    157,404.18x = 18,633,867,956.09
  5. Step 5: Solve for x
    x = 18,633,867,956.09/157,404.18
  6. Step 6: Final answer
    x = 118,382.29

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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.