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Finding the Fourth Proportional to 238,398.78, 357,518.58 and 96,207.32

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Solution

The fourth proportional to 238,398.78, 357,518.58 and 96,207.32 is: 144,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,398.78 : 357,518.58 = 96,207.32 : x
  2. Step 2: Convert to fraction form
    238,398.78/357,518.58 = 96,207.32/x
  3. Step 3: Cross multiply
    238,398.78x = 357,518.58 × 96,207.32
  4. Step 4: Simplify right side
    238,398.78x = 34,395,904,432.01
  5. Step 5: Solve for x
    x = 34,395,904,432.01/238,398.78
  6. Step 6: Final answer
    x = 144,278.86

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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.