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Finding the Fourth Proportional to 232,277.78, 348,432.88 and 92,036

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Solution

The fourth proportional to 232,277.78, 348,432.88 and 92,036 is: 138,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,277.78 : 348,432.88 = 92,036 : x
  2. Step 2: Convert to fraction form
    232,277.78/348,432.88 = 92,036/x
  3. Step 3: Cross multiply
    232,277.78x = 348,432.88 × 92,036
  4. Step 4: Simplify right side
    232,277.78x = 32,068,368,543.68
  5. Step 5: Solve for x
    x = 32,068,368,543.68/232,277.78
  6. Step 6: Final answer
    x = 138,060.42

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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.