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Finding the Fourth Proportional to 157,114.72, 216,818.37 and 85,493.21

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Solution

The fourth proportional to 157,114.72, 216,818.37 and 85,493.21 is: 117,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,114.72 : 216,818.37 = 85,493.21 : x
  2. Step 2: Convert to fraction form
    157,114.72/216,818.37 = 85,493.21/x
  3. Step 3: Cross multiply
    157,114.72x = 216,818.37 × 85,493.21
  4. Step 4: Simplify right side
    157,114.72x = 18,536,497,354.18
  5. Step 5: Solve for x
    x = 18,536,497,354.18/157,114.72
  6. Step 6: Final answer
    x = 117,980.65

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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.