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Finding the Fourth Proportional to 224,982.96, 337,141.32 and 98,506.32

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Solution

The fourth proportional to 224,982.96, 337,141.32 and 98,506.32 is: 147,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,982.96 : 337,141.32 = 98,506.32 : x
  2. Step 2: Convert to fraction form
    224,982.96/337,141.32 = 98,506.32/x
  3. Step 3: Cross multiply
    224,982.96x = 337,141.32 × 98,506.32
  4. Step 4: Simplify right side
    224,982.96x = 33,210,550,753.14
  5. Step 5: Solve for x
    x = 33,210,550,753.14/224,982.96
  6. Step 6: Final answer
    x = 147,613.63

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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.