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Finding the Fourth Proportional to 109,294.20, 150,820.74 and 61,546.68

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Solution

The fourth proportional to 109,294.20, 150,820.74 and 61,546.68 is: 84,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,294.20 : 150,820.74 = 61,546.68 : x
  2. Step 2: Convert to fraction form
    109,294.20/150,820.74 = 61,546.68/x
  3. Step 3: Cross multiply
    109,294.20x = 150,820.74 × 61,546.68
  4. Step 4: Simplify right side
    109,294.20x = 9,282,515,822.14
  5. Step 5: Solve for x
    x = 9,282,515,822.14/109,294.20
  6. Step 6: Final answer
    x = 84,931.46

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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.