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Finding the Fourth Proportional to 157,234.46, 216,980.75 and 85,613.18

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Solution

The fourth proportional to 157,234.46, 216,980.75 and 85,613.18 is: 118,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,234.46 : 216,980.75 = 85,613.18 : x
  2. Step 2: Convert to fraction form
    157,234.46/216,980.75 = 85,613.18/x
  3. Step 3: Cross multiply
    157,234.46x = 216,980.75 × 85,613.18
  4. Step 4: Simplify right side
    157,234.46x = 18,576,411,578.22
  5. Step 5: Solve for x
    x = 18,576,411,578.22/157,234.46
  6. Step 6: Final answer
    x = 118,144.66

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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.