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Finding the Fourth Proportional to 232,878.52, 349,385.82 and 75,103.48

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Solution

The fourth proportional to 232,878.52, 349,385.82 and 75,103.48 is: 112,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,878.52 : 349,385.82 = 75,103.48 : x
  2. Step 2: Convert to fraction form
    232,878.52/349,385.82 = 75,103.48/x
  3. Step 3: Cross multiply
    232,878.52x = 349,385.82 × 75,103.48
  4. Step 4: Simplify right side
    232,878.52x = 26,240,090,944.65
  5. Step 5: Solve for x
    x = 26,240,090,944.65/232,878.52
  6. Step 6: Final answer
    x = 112,677.16

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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.