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Finding the Fourth Proportional to 157,438.08, 217,264.64 and 85,818.24

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Solution

The fourth proportional to 157,438.08, 217,264.64 and 85,818.24 is: 118,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,438.08 : 217,264.64 = 85,818.24 : x
  2. Step 2: Convert to fraction form
    157,438.08/217,264.64 = 85,818.24/x
  3. Step 3: Cross multiply
    157,438.08x = 217,264.64 × 85,818.24
  4. Step 4: Simplify right side
    157,438.08x = 18,645,269,019.03
  5. Step 5: Solve for x
    x = 18,645,269,019.03/157,438.08
  6. Step 6: Final answer
    x = 118,429.22

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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.