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Finding the Fourth Proportional to 117,459.38, 162,013.65 and 74,998.78

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Solution

The fourth proportional to 117,459.38, 162,013.65 and 74,998.78 is: 103,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,459.38 : 162,013.65 = 74,998.78 : x
  2. Step 2: Convert to fraction form
    117,459.38/162,013.65 = 74,998.78/x
  3. Step 3: Cross multiply
    117,459.38x = 162,013.65 × 74,998.78
  4. Step 4: Simplify right side
    117,459.38x = 12,150,826,093.35
  5. Step 5: Solve for x
    x = 12,150,826,093.35/117,459.38
  6. Step 6: Final answer
    x = 103,447.05

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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.