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Finding the Fourth Proportional to 232,133.72, 348,250.71 and 72,206.61

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Solution

The fourth proportional to 232,133.72, 348,250.71 and 72,206.61 is: 108,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,133.72 : 348,250.71 = 72,206.61 : x
  2. Step 2: Convert to fraction form
    232,133.72/348,250.71 = 72,206.61/x
  3. Step 3: Cross multiply
    232,133.72x = 348,250.71 × 72,206.61
  4. Step 4: Simplify right side
    232,133.72x = 25,146,002,838.16
  5. Step 5: Solve for x
    x = 25,146,002,838.16/232,133.72
  6. Step 6: Final answer
    x = 108,325.51

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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.