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Finding the Fourth Proportional to 136,715.20, 205,058.34 and 36,869.22

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Solution

The fourth proportional to 136,715.20, 205,058.34 and 36,869.22 is: 55,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,715.20 : 205,058.34 = 36,869.22 : x
  2. Step 2: Convert to fraction form
    136,715.20/205,058.34 = 36,869.22/x
  3. Step 3: Cross multiply
    136,715.20x = 205,058.34 × 36,869.22
  4. Step 4: Simplify right side
    136,715.20x = 7,560,341,050.29
  5. Step 5: Solve for x
    x = 7,560,341,050.29/136,715.20
  6. Step 6: Final answer
    x = 55,299.93

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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.