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Finding the Fourth Proportional to 224,843.65, 310,283.60 and 122,869.76

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Solution

The fourth proportional to 224,843.65, 310,283.60 and 122,869.76 is: 169,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,843.65 : 310,283.60 = 122,869.76 : x
  2. Step 2: Convert to fraction form
    224,843.65/310,283.60 = 122,869.76/x
  3. Step 3: Cross multiply
    224,843.65x = 310,283.60 × 122,869.76
  4. Step 4: Simplify right side
    224,843.65x = 38,124,469,298.17
  5. Step 5: Solve for x
    x = 38,124,469,298.17/224,843.65
  6. Step 6: Final answer
    x = 169,559.91

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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.