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Finding the Fourth Proportional to 83,101.05, 124,651.58 and 83,101.05

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Solution

The fourth proportional to 83,101.05, 124,651.58 and 83,101.05 is: 124,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.05 : 124,651.58 = 83,101.05 : x
  2. Step 2: Convert to fraction form
    83,101.05/124,651.58 = 83,101.05/x
  3. Step 3: Cross multiply
    83,101.05x = 124,651.58 × 83,101.05
  4. Step 4: Simplify right side
    83,101.05x = 10,358,676,766.65
  5. Step 5: Solve for x
    x = 10,358,676,766.65/83,101.05
  6. Step 6: Final answer
    x = 124,651.58

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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.