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Finding the Fourth Proportional to 109,206.41, 150,679.91 and 61,442.33

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Solution

The fourth proportional to 109,206.41, 150,679.91 and 61,442.33 is: 84,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,206.41 : 150,679.91 = 61,442.33 : x
  2. Step 2: Convert to fraction form
    109,206.41/150,679.91 = 61,442.33/x
  3. Step 3: Cross multiply
    109,206.41x = 150,679.91 × 61,442.33
  4. Step 4: Simplify right side
    109,206.41x = 9,258,124,154.80
  5. Step 5: Solve for x
    x = 9,258,124,154.80/109,206.41
  6. Step 6: Final answer
    x = 84,776.38

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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.