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Finding the Fourth Proportional to 232,963.61, 349,445.42 and 75,215.30

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Solution

The fourth proportional to 232,963.61, 349,445.42 and 75,215.30 is: 112,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,963.61 : 349,445.42 = 75,215.30 : x
  2. Step 2: Convert to fraction form
    232,963.61/349,445.42 = 75,215.30/x
  3. Step 3: Cross multiply
    232,963.61x = 349,445.42 × 75,215.30
  4. Step 4: Simplify right side
    232,963.61x = 26,283,642,646.40
  5. Step 5: Solve for x
    x = 26,283,642,646.40/232,963.61
  6. Step 6: Final answer
    x = 112,822.95

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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.