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Finding the Fourth Proportional to 159,155.70, 238,733.55 and 65,613.30

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Solution

The fourth proportional to 159,155.70, 238,733.55 and 65,613.30 is: 98,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,155.70 : 238,733.55 = 65,613.30 : x
  2. Step 2: Convert to fraction form
    159,155.70/238,733.55 = 65,613.30/x
  3. Step 3: Cross multiply
    159,155.70x = 238,733.55 × 65,613.30
  4. Step 4: Simplify right side
    159,155.70x = 15,664,096,036.22
  5. Step 5: Solve for x
    x = 15,664,096,036.22/159,155.70
  6. Step 6: Final answer
    x = 98,419.95

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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.