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Finding the Fourth Proportional to 188,475.98, 260,098.86 and 102,434.97

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Solution

The fourth proportional to 188,475.98, 260,098.86 and 102,434.97 is: 141,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,475.98 : 260,098.86 = 102,434.97 : x
  2. Step 2: Convert to fraction form
    188,475.98/260,098.86 = 102,434.97/x
  3. Step 3: Cross multiply
    188,475.98x = 260,098.86 × 102,434.97
  4. Step 4: Simplify right side
    188,475.98x = 26,643,218,921.13
  5. Step 5: Solve for x
    x = 26,643,218,921.13/188,475.98
  6. Step 6: Final answer
    x = 141,361.35

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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.