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Finding the Fourth Proportional to 227,805.60, 341,708.40 and 132,938.40

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Solution

The fourth proportional to 227,805.60, 341,708.40 and 132,938.40 is: 199,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,805.60 : 341,708.40 = 132,938.40 : x
  2. Step 2: Convert to fraction form
    227,805.60/341,708.40 = 132,938.40/x
  3. Step 3: Cross multiply
    227,805.60x = 341,708.40 × 132,938.40
  4. Step 4: Simplify right side
    227,805.60x = 45,426,167,962.56
  5. Step 5: Solve for x
    x = 45,426,167,962.56/227,805.60
  6. Step 6: Final answer
    x = 199,407.60

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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.