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Finding the Fourth Proportional to 131,571, 197,358.54 and 38,077.08

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Solution

The fourth proportional to 131,571, 197,358.54 and 38,077.08 is: 57,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,571 : 197,358.54 = 38,077.08 : x
  2. Step 2: Convert to fraction form
    131,571/197,358.54 = 38,077.08/x
  3. Step 3: Cross multiply
    131,571x = 197,358.54 × 38,077.08
  4. Step 4: Simplify right side
    131,571x = 7,514,836,916.26
  5. Step 5: Solve for x
    x = 7,514,836,916.26/131,571
  6. Step 6: Final answer
    x = 57,116.21

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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.