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Finding the Fourth Proportional to 109,306.95, 150,844.10 and 61,561.14

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Solution

The fourth proportional to 109,306.95, 150,844.10 and 61,561.14 is: 84,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306.95 : 150,844.10 = 61,561.14 : x
  2. Step 2: Convert to fraction form
    109,306.95/150,844.10 = 61,561.14/x
  3. Step 3: Cross multiply
    109,306.95x = 150,844.10 × 61,561.14
  4. Step 4: Simplify right side
    109,306.95x = 9,286,134,758.27
  5. Step 5: Solve for x
    x = 9,286,134,758.27/109,306.95
  6. Step 6: Final answer
    x = 84,954.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.