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Finding the Fourth Proportional to 137,377, 206,152.06 and 58,491.08

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Solution

The fourth proportional to 137,377, 206,152.06 and 58,491.08 is: 87,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,377 : 206,152.06 = 58,491.08 : x
  2. Step 2: Convert to fraction form
    137,377/206,152.06 = 58,491.08/x
  3. Step 3: Cross multiply
    137,377x = 206,152.06 × 58,491.08
  4. Step 4: Simplify right side
    137,377x = 12,058,056,633.62
  5. Step 5: Solve for x
    x = 12,058,056,633.62/137,377
  6. Step 6: Final answer
    x = 87,773.47

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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.