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Finding the Fourth Proportional to 224,697.84, 337,053.66 and 98,273.04

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Solution

The fourth proportional to 224,697.84, 337,053.66 and 98,273.04 is: 147,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,697.84 : 337,053.66 = 98,273.04 : x
  2. Step 2: Convert to fraction form
    224,697.84/337,053.66 = 98,273.04/x
  3. Step 3: Cross multiply
    224,697.84x = 337,053.66 × 98,273.04
  4. Step 4: Simplify right side
    224,697.84x = 33,123,287,811.33
  5. Step 5: Solve for x
    x = 33,123,287,811.33/224,697.84
  6. Step 6: Final answer
    x = 147,412.58

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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.