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Finding the Fourth Proportional to 275,599.60, 413,302.20 and 98,112.40

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Solution

The fourth proportional to 275,599.60, 413,302.20 and 98,112.40 is: 147,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,599.60 : 413,302.20 = 98,112.40 : x
  2. Step 2: Convert to fraction form
    275,599.60/413,302.20 = 98,112.40/x
  3. Step 3: Cross multiply
    275,599.60x = 413,302.20 × 98,112.40
  4. Step 4: Simplify right side
    275,599.60x = 40,550,070,767.28
  5. Step 5: Solve for x
    x = 40,550,070,767.28/275,599.60
  6. Step 6: Final answer
    x = 147,134.00

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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.