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Finding the Fourth Proportional to 164,972.14, 247,015.35 and 85,920.31

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Solution

The fourth proportional to 164,972.14, 247,015.35 and 85,920.31 is: 128,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,972.14 : 247,015.35 = 85,920.31 : x
  2. Step 2: Convert to fraction form
    164,972.14/247,015.35 = 85,920.31/x
  3. Step 3: Cross multiply
    164,972.14x = 247,015.35 × 85,920.31
  4. Step 4: Simplify right side
    164,972.14x = 21,223,635,446.76
  5. Step 5: Solve for x
    x = 21,223,635,446.76/164,972.14
  6. Step 6: Final answer
    x = 128,649.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.