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Finding the Fourth Proportional to 377,253.48, 565,917.12 and 137,432.52

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Solution

The fourth proportional to 377,253.48, 565,917.12 and 137,432.52 is: 206,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,253.48 : 565,917.12 = 137,432.52 : x
  2. Step 2: Convert to fraction form
    377,253.48/565,917.12 = 137,432.52/x
  3. Step 3: Cross multiply
    377,253.48x = 565,917.12 × 137,432.52
  4. Step 4: Simplify right side
    377,253.48x = 77,775,415,912.74
  5. Step 5: Solve for x
    x = 77,775,415,912.74/377,253.48
  6. Step 6: Final answer
    x = 206,162.22

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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.