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Finding the Fourth Proportional to 137,269.64, 205,902.30 and 43,774.76

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Solution

The fourth proportional to 137,269.64, 205,902.30 and 43,774.76 is: 65,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,269.64 : 205,902.30 = 43,774.76 : x
  2. Step 2: Convert to fraction form
    137,269.64/205,902.30 = 43,774.76/x
  3. Step 3: Cross multiply
    137,269.64x = 205,902.30 × 43,774.76
  4. Step 4: Simplify right side
    137,269.64x = 9,013,323,765.95
  5. Step 5: Solve for x
    x = 9,013,323,765.95/137,269.64
  6. Step 6: Final answer
    x = 65,661.45

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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.