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Finding the Fourth Proportional to 169,693.32, 234,163.13 and 98,077.98

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Solution

The fourth proportional to 169,693.32, 234,163.13 and 98,077.98 is: 135,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,693.32 : 234,163.13 = 98,077.98 : x
  2. Step 2: Convert to fraction form
    169,693.32/234,163.13 = 98,077.98/x
  3. Step 3: Cross multiply
    169,693.32x = 234,163.13 × 98,077.98
  4. Step 4: Simplify right side
    169,693.32x = 22,966,246,290.49
  5. Step 5: Solve for x
    x = 22,966,246,290.49/169,693.32
  6. Step 6: Final answer
    x = 135,339.72

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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.