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Finding the Fourth Proportional to 218,956.83, 302,151.24 and 123,472.41

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Solution

The fourth proportional to 218,956.83, 302,151.24 and 123,472.41 is: 170,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,956.83 : 302,151.24 = 123,472.41 : x
  2. Step 2: Convert to fraction form
    218,956.83/302,151.24 = 123,472.41/x
  3. Step 3: Cross multiply
    218,956.83x = 302,151.24 × 123,472.41
  4. Step 4: Simplify right side
    218,956.83x = 37,307,341,787.29
  5. Step 5: Solve for x
    x = 37,307,341,787.29/218,956.83
  6. Step 6: Final answer
    x = 170,386.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.