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Finding the Fourth Proportional to 208,586.92, 312,864.02 and 58,821.16

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Solution

The fourth proportional to 208,586.92, 312,864.02 and 58,821.16 is: 88,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,586.92 : 312,864.02 = 58,821.16 : x
  2. Step 2: Convert to fraction form
    208,586.92/312,864.02 = 58,821.16/x
  3. Step 3: Cross multiply
    208,586.92x = 312,864.02 × 58,821.16
  4. Step 4: Simplify right side
    208,586.92x = 18,403,024,578.66
  5. Step 5: Solve for x
    x = 18,403,024,578.66/208,586.92
  6. Step 6: Final answer
    x = 88,227.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.