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Finding the Fourth Proportional to 126,534.60, 189,874.80 and 47,705.40

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Solution

The fourth proportional to 126,534.60, 189,874.80 and 47,705.40 is: 71,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,534.60 : 189,874.80 = 47,705.40 : x
  2. Step 2: Convert to fraction form
    126,534.60/189,874.80 = 47,705.40/x
  3. Step 3: Cross multiply
    126,534.60x = 189,874.80 × 47,705.40
  4. Step 4: Simplify right side
    126,534.60x = 9,058,053,283.92
  5. Step 5: Solve for x
    x = 9,058,053,283.92/126,534.60
  6. Step 6: Final answer
    x = 71,585.58

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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.