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Finding the Fourth Proportional to 136,471.95, 204,707.92 and 53,307.63

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Solution

The fourth proportional to 136,471.95, 204,707.92 and 53,307.63 is: 79,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,471.95 : 204,707.92 = 53,307.63 : x
  2. Step 2: Convert to fraction form
    136,471.95/204,707.92 = 53,307.63/x
  3. Step 3: Cross multiply
    136,471.95x = 204,707.92 × 53,307.63
  4. Step 4: Simplify right side
    136,471.95x = 10,912,493,033.89
  5. Step 5: Solve for x
    x = 10,912,493,033.89/136,471.95
  6. Step 6: Final answer
    x = 79,961.44

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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.