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Finding the Fourth Proportional to 154,768.83, 232,239.17 and 83,689.71

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Solution

The fourth proportional to 154,768.83, 232,239.17 and 83,689.71 is: 125,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,768.83 : 232,239.17 = 83,689.71 : x
  2. Step 2: Convert to fraction form
    154,768.83/232,239.17 = 83,689.71/x
  3. Step 3: Cross multiply
    154,768.83x = 232,239.17 × 83,689.71
  4. Step 4: Simplify right side
    154,768.83x = 19,436,028,369.49
  5. Step 5: Solve for x
    x = 19,436,028,369.49/154,768.83
  6. Step 6: Final answer
    x = 125,581.03

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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.