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Finding the Fourth Proportional to 126,076, 188,986.38 and 81,730.90

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Solution

The fourth proportional to 126,076, 188,986.38 and 81,730.90 is: 122,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,076 : 188,986.38 = 81,730.90 : x
  2. Step 2: Convert to fraction form
    126,076/188,986.38 = 81,730.90/x
  3. Step 3: Cross multiply
    126,076x = 188,986.38 × 81,730.90
  4. Step 4: Simplify right side
    126,076x = 15,446,026,925.14
  5. Step 5: Solve for x
    x = 15,446,026,925.14/126,076
  6. Step 6: Final answer
    x = 122,513.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.