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Finding the Fourth Proportional to 117,043.92, 175,565.88 and 54,758.16

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Solution

The fourth proportional to 117,043.92, 175,565.88 and 54,758.16 is: 82,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,043.92 : 175,565.88 = 54,758.16 : x
  2. Step 2: Convert to fraction form
    117,043.92/175,565.88 = 54,758.16/x
  3. Step 3: Cross multiply
    117,043.92x = 175,565.88 × 54,758.16
  4. Step 4: Simplify right side
    117,043.92x = 9,613,664,547.58
  5. Step 5: Solve for x
    x = 9,613,664,547.58/117,043.92
  6. Step 6: Final answer
    x = 82,137.24

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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.