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Finding the Fourth Proportional to 109,165.29, 150,635.91 and 61,417.61

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Solution

The fourth proportional to 109,165.29, 150,635.91 and 61,417.61 is: 84,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,165.29 : 150,635.91 = 61,417.61 : x
  2. Step 2: Convert to fraction form
    109,165.29/150,635.91 = 61,417.61/x
  3. Step 3: Cross multiply
    109,165.29x = 150,635.91 × 61,417.61
  4. Step 4: Simplify right side
    109,165.29x = 9,251,697,572.38
  5. Step 5: Solve for x
    x = 9,251,697,572.38/109,165.29
  6. Step 6: Final answer
    x = 84,749.44

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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.