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Finding the Fourth Proportional to 118,948.16, 178,452.24 and 83,956.16

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Solution

The fourth proportional to 118,948.16, 178,452.24 and 83,956.16 is: 125,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,948.16 : 178,452.24 = 83,956.16 : x
  2. Step 2: Convert to fraction form
    118,948.16/178,452.24 = 83,956.16/x
  3. Step 3: Cross multiply
    118,948.16x = 178,452.24 × 83,956.16
  4. Step 4: Simplify right side
    118,948.16x = 14,982,164,813.80
  5. Step 5: Solve for x
    x = 14,982,164,813.80/118,948.16
  6. Step 6: Final answer
    x = 125,955.41

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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.