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Finding the Fourth Proportional to 257,224.55, 354,982.60 and 155,248.38

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Solution

The fourth proportional to 257,224.55, 354,982.60 and 155,248.38 is: 214,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,224.55 : 354,982.60 = 155,248.38 : x
  2. Step 2: Convert to fraction form
    257,224.55/354,982.60 = 155,248.38/x
  3. Step 3: Cross multiply
    257,224.55x = 354,982.60 × 155,248.38
  4. Step 4: Simplify right side
    257,224.55x = 55,110,473,772.25
  5. Step 5: Solve for x
    x = 55,110,473,772.25/257,224.55
  6. Step 6: Final answer
    x = 214,250.45

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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.