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Finding the Fourth Proportional to 165,093.32, 247,639.98 and 71,597

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Solution

The fourth proportional to 165,093.32, 247,639.98 and 71,597 is: 107,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,093.32 : 247,639.98 = 71,597 : x
  2. Step 2: Convert to fraction form
    165,093.32/247,639.98 = 71,597/x
  3. Step 3: Cross multiply
    165,093.32x = 247,639.98 × 71,597
  4. Step 4: Simplify right side
    165,093.32x = 17,730,279,648.06
  5. Step 5: Solve for x
    x = 17,730,279,648.06/165,093.32
  6. Step 6: Final answer
    x = 107,395.50

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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.