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Finding the Fourth Proportional to 224,595.80, 309,928.92 and 122,600.96

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Solution

The fourth proportional to 224,595.80, 309,928.92 and 122,600.96 is: 169,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,595.80 : 309,928.92 = 122,600.96 : x
  2. Step 2: Convert to fraction form
    224,595.80/309,928.92 = 122,600.96/x
  3. Step 3: Cross multiply
    224,595.80x = 309,928.92 × 122,600.96
  4. Step 4: Simplify right side
    224,595.80x = 37,997,583,123.76
  5. Step 5: Solve for x
    x = 37,997,583,123.76/224,595.80
  6. Step 6: Final answer
    x = 169,182.07

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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.