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Finding the Fourth Proportional to 232,446.80, 348,497.40 and 127,384.40

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Solution

The fourth proportional to 232,446.80, 348,497.40 and 127,384.40 is: 190,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,446.80 : 348,497.40 = 127,384.40 : x
  2. Step 2: Convert to fraction form
    232,446.80/348,497.40 = 127,384.40/x
  3. Step 3: Cross multiply
    232,446.80x = 348,497.40 × 127,384.40
  4. Step 4: Simplify right side
    232,446.80x = 44,393,132,200.56
  5. Step 5: Solve for x
    x = 44,393,132,200.56/232,446.80
  6. Step 6: Final answer
    x = 190,981.90

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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.