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Finding the Fourth Proportional to 121,506.72, 182,427.96 and 83,974.32

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Solution

The fourth proportional to 121,506.72, 182,427.96 and 83,974.32 is: 126,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,506.72 : 182,427.96 = 83,974.32 : x
  2. Step 2: Convert to fraction form
    121,506.72/182,427.96 = 83,974.32/x
  3. Step 3: Cross multiply
    121,506.72x = 182,427.96 × 83,974.32
  4. Step 4: Simplify right side
    121,506.72x = 15,319,263,889.99
  5. Step 5: Solve for x
    x = 15,319,263,889.99/121,506.72
  6. Step 6: Final answer
    x = 126,077.50

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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.