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Finding the Fourth Proportional to 177,025.20, 265,537.80 and 83,713.20

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Solution

The fourth proportional to 177,025.20, 265,537.80 and 83,713.20 is: 125,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,025.20 : 265,537.80 = 83,713.20 : x
  2. Step 2: Convert to fraction form
    177,025.20/265,537.80 = 83,713.20/x
  3. Step 3: Cross multiply
    177,025.20x = 265,537.80 × 83,713.20
  4. Step 4: Simplify right side
    177,025.20x = 22,229,018,958.96
  5. Step 5: Solve for x
    x = 22,229,018,958.96/177,025.20
  6. Step 6: Final answer
    x = 125,569.80

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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.