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Finding the Fourth Proportional to 114,384.30, 157,906.17 and 76,166.48

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Solution

The fourth proportional to 114,384.30, 157,906.17 and 76,166.48 is: 105,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,384.30 : 157,906.17 = 76,166.48 : x
  2. Step 2: Convert to fraction form
    114,384.30/157,906.17 = 76,166.48/x
  3. Step 3: Cross multiply
    114,384.30x = 157,906.17 × 76,166.48
  4. Step 4: Simplify right side
    114,384.30x = 12,027,156,349.65
  5. Step 5: Solve for x
    x = 12,027,156,349.65/114,384.30
  6. Step 6: Final answer
    x = 105,146.92

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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.