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Finding the Fourth Proportional to 232,511.31, 348,799.77 and 74,686.86

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Solution

The fourth proportional to 232,511.31, 348,799.77 and 74,686.86 is: 112,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,511.31 : 348,799.77 = 74,686.86 : x
  2. Step 2: Convert to fraction form
    232,511.31/348,799.77 = 74,686.86/x
  3. Step 3: Cross multiply
    232,511.31x = 348,799.77 × 74,686.86
  4. Step 4: Simplify right side
    232,511.31x = 26,050,759,590.02
  5. Step 5: Solve for x
    x = 26,050,759,590.02/232,511.31
  6. Step 6: Final answer
    x = 112,040.83

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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.