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Finding the Fourth Proportional to 121,505.60, 182,258.40 and 54,947.90

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Solution

The fourth proportional to 121,505.60, 182,258.40 and 54,947.90 is: 82,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,505.60 : 182,258.40 = 54,947.90 : x
  2. Step 2: Convert to fraction form
    121,505.60/182,258.40 = 54,947.90/x
  3. Step 3: Cross multiply
    121,505.60x = 182,258.40 × 54,947.90
  4. Step 4: Simplify right side
    121,505.60x = 10,014,716,337.36
  5. Step 5: Solve for x
    x = 10,014,716,337.36/121,505.60
  6. Step 6: Final answer
    x = 82,421.85

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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.