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Finding the Fourth Proportional to 102,901.88, 154,353.24 and 36,334.40

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Solution

The fourth proportional to 102,901.88, 154,353.24 and 36,334.40 is: 54,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,901.88 : 154,353.24 = 36,334.40 : x
  2. Step 2: Convert to fraction form
    102,901.88/154,353.24 = 36,334.40/x
  3. Step 3: Cross multiply
    102,901.88x = 154,353.24 × 36,334.40
  4. Step 4: Simplify right side
    102,901.88x = 5,608,332,363.46
  5. Step 5: Solve for x
    x = 5,608,332,363.46/102,901.88
  6. Step 6: Final answer
    x = 54,501.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.