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Finding the Fourth Proportional to 137,376, 206,150.56 and 58,490.08

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Solution

The fourth proportional to 137,376, 206,150.56 and 58,490.08 is: 87,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,376 : 206,150.56 = 58,490.08 : x
  2. Step 2: Convert to fraction form
    137,376/206,150.56 = 58,490.08/x
  3. Step 3: Cross multiply
    137,376x = 206,150.56 × 58,490.08
  4. Step 4: Simplify right side
    137,376x = 12,057,762,746.44
  5. Step 5: Solve for x
    x = 12,057,762,746.44/137,376
  6. Step 6: Final answer
    x = 87,771.97

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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.