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Finding the Fourth Proportional to 187,102.65, 280,864.30 and 74,862.05

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Solution

The fourth proportional to 187,102.65, 280,864.30 and 74,862.05 is: 112,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,102.65 : 280,864.30 = 74,862.05 : x
  2. Step 2: Convert to fraction form
    187,102.65/280,864.30 = 74,862.05/x
  3. Step 3: Cross multiply
    187,102.65x = 280,864.30 × 74,862.05
  4. Step 4: Simplify right side
    187,102.65x = 21,026,077,269.82
  5. Step 5: Solve for x
    x = 21,026,077,269.82/187,102.65
  6. Step 6: Final answer
    x = 112,377.23

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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.