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Finding the Fourth Proportional to 224,946.16, 337,513.02 and 98,677.03

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Solution

The fourth proportional to 224,946.16, 337,513.02 and 98,677.03 is: 148,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,946.16 : 337,513.02 = 98,677.03 : x
  2. Step 2: Convert to fraction form
    224,946.16/337,513.02 = 98,677.03/x
  3. Step 3: Cross multiply
    224,946.16x = 337,513.02 × 98,677.03
  4. Step 4: Simplify right side
    224,946.16x = 33,304,782,399.93
  5. Step 5: Solve for x
    x = 33,304,782,399.93/224,946.16
  6. Step 6: Final answer
    x = 148,056.68

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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.