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Finding the Fourth Proportional to 323,193.41, 484,823.23 and 123,681.61

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Solution

The fourth proportional to 323,193.41, 484,823.23 and 123,681.61 is: 185,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,193.41 : 484,823.23 = 123,681.61 : x
  2. Step 2: Convert to fraction form
    323,193.41/484,823.23 = 123,681.61/x
  3. Step 3: Cross multiply
    323,193.41x = 484,823.23 × 123,681.61
  4. Step 4: Simplify right side
    323,193.41x = 59,963,715,917.20
  5. Step 5: Solve for x
    x = 59,963,715,917.20/323,193.41
  6. Step 6: Final answer
    x = 185,535.08

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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.