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Finding the Fourth Proportional to 376,897.22, 565,456.76 and 137,007.34

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Solution

The fourth proportional to 376,897.22, 565,456.76 and 137,007.34 is: 205,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,897.22 : 565,456.76 = 137,007.34 : x
  2. Step 2: Convert to fraction form
    376,897.22/565,456.76 = 137,007.34/x
  3. Step 3: Cross multiply
    376,897.22x = 565,456.76 × 137,007.34
  4. Step 4: Simplify right side
    376,897.22x = 77,471,727,182.92
  5. Step 5: Solve for x
    x = 77,471,727,182.92/376,897.22
  6. Step 6: Final answer
    x = 205,551.34

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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.