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Finding the Fourth Proportional to 461,542.32, 692,192.82 and 137,243.09

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Solution

The fourth proportional to 461,542.32, 692,192.82 and 137,243.09 is: 205,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,542.32 : 692,192.82 = 137,243.09 : x
  2. Step 2: Convert to fraction form
    461,542.32/692,192.82 = 137,243.09/x
  3. Step 3: Cross multiply
    461,542.32x = 692,192.82 × 137,243.09
  4. Step 4: Simplify right side
    461,542.32x = 94,998,681,492.61
  5. Step 5: Solve for x
    x = 94,998,681,492.61/461,542.32
  6. Step 6: Final answer
    x = 205,828.76

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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.