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Finding the Fourth Proportional to 232,472.21, 348,587.16 and 82,690.76

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Solution

The fourth proportional to 232,472.21, 348,587.16 and 82,690.76 is: 123,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,472.21 : 348,587.16 = 82,690.76 : x
  2. Step 2: Convert to fraction form
    232,472.21/348,587.16 = 82,690.76/x
  3. Step 3: Cross multiply
    232,472.21x = 348,587.16 × 82,690.76
  4. Step 4: Simplify right side
    232,472.21x = 28,824,935,443.71
  5. Step 5: Solve for x
    x = 28,824,935,443.71/232,472.21
  6. Step 6: Final answer
    x = 123,993.04

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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.