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Finding the Fourth Proportional to 109,243.14, 150,758.38 and 61,498.23

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Solution

The fourth proportional to 109,243.14, 150,758.38 and 61,498.23 is: 84,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,243.14 : 150,758.38 = 61,498.23 : x
  2. Step 2: Convert to fraction form
    109,243.14/150,758.38 = 61,498.23/x
  3. Step 3: Cross multiply
    109,243.14x = 150,758.38 × 61,498.23
  4. Step 4: Simplify right side
    109,243.14x = 9,271,373,527.67
  5. Step 5: Solve for x
    x = 9,271,373,527.67/109,243.14
  6. Step 6: Final answer
    x = 84,869.16

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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.