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Finding the Fourth Proportional to 232,647.40, 348,510.30 and 138,874.60

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Solution

The fourth proportional to 232,647.40, 348,510.30 and 138,874.60 is: 208,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,647.40 : 348,510.30 = 138,874.60 : x
  2. Step 2: Convert to fraction form
    232,647.40/348,510.30 = 138,874.60/x
  3. Step 3: Cross multiply
    232,647.40x = 348,510.30 × 138,874.60
  4. Step 4: Simplify right side
    232,647.40x = 48,399,228,508.38
  5. Step 5: Solve for x
    x = 48,399,228,508.38/232,647.40
  6. Step 6: Final answer
    x = 208,036.83

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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.