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Finding the Fourth Proportional to 177,561, 245,034.18 and 98,078.12

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Solution

The fourth proportional to 177,561, 245,034.18 and 98,078.12 is: 135,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,561 : 245,034.18 = 98,078.12 : x
  2. Step 2: Convert to fraction form
    177,561/245,034.18 = 98,078.12/x
  3. Step 3: Cross multiply
    177,561x = 245,034.18 × 98,078.12
  4. Step 4: Simplify right side
    177,561x = 24,032,491,710.14
  5. Step 5: Solve for x
    x = 24,032,491,710.14/177,561
  6. Step 6: Final answer
    x = 135,347.81

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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.