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Finding the Fourth Proportional to 121,903.11, 182,862.88 and 47,023.88

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Solution

The fourth proportional to 121,903.11, 182,862.88 and 47,023.88 is: 70,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,903.11 : 182,862.88 = 47,023.88 : x
  2. Step 2: Convert to fraction form
    121,903.11/182,862.88 = 47,023.88/x
  3. Step 3: Cross multiply
    121,903.11x = 182,862.88 × 47,023.88
  4. Step 4: Simplify right side
    121,903.11x = 8,598,921,093.70
  5. Step 5: Solve for x
    x = 8,598,921,093.70/121,903.11
  6. Step 6: Final answer
    x = 70,538.98

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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.