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Finding the Fourth Proportional to 117,152.92, 175,729.74 and 54,867.16

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Solution

The fourth proportional to 117,152.92, 175,729.74 and 54,867.16 is: 82,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,152.92 : 175,729.74 = 54,867.16 : x
  2. Step 2: Convert to fraction form
    117,152.92/175,729.74 = 54,867.16/x
  3. Step 3: Cross multiply
    117,152.92x = 175,729.74 × 54,867.16
  4. Step 4: Simplify right side
    117,152.92x = 9,641,791,761.34
  5. Step 5: Solve for x
    x = 9,641,791,761.34/117,152.92
  6. Step 6: Final answer
    x = 82,300.91

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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.