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Finding the Fourth Proportional to 82,734.60, 124,101.90 and 82,734.60

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Solution

The fourth proportional to 82,734.60, 124,101.90 and 82,734.60 is: 124,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,734.60 : 124,101.90 = 82,734.60 : x
  2. Step 2: Convert to fraction form
    82,734.60/124,101.90 = 82,734.60/x
  3. Step 3: Cross multiply
    82,734.60x = 124,101.90 × 82,734.60
  4. Step 4: Simplify right side
    82,734.60x = 10,267,521,055.74
  5. Step 5: Solve for x
    x = 10,267,521,055.74/82,734.60
  6. Step 6: Final answer
    x = 124,101.90

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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.