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Finding the Fourth Proportional to 118,838.76, 178,244.22 and 47,758.52

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Solution

The fourth proportional to 118,838.76, 178,244.22 and 47,758.52 is: 71,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,838.76 : 178,244.22 = 47,758.52 : x
  2. Step 2: Convert to fraction form
    118,838.76/178,244.22 = 47,758.52/x
  3. Step 3: Cross multiply
    118,838.76x = 178,244.22 × 47,758.52
  4. Step 4: Simplify right side
    118,838.76x = 8,512,680,145.75
  5. Step 5: Solve for x
    x = 8,512,680,145.75/118,838.76
  6. Step 6: Final answer
    x = 71,632.19

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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.