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Finding the Fourth Proportional to 99,236, 136,945.68 and 54,524

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Solution

The fourth proportional to 99,236, 136,945.68 and 54,524 is: 75,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,236 : 136,945.68 = 54,524 : x
  2. Step 2: Convert to fraction form
    99,236/136,945.68 = 54,524/x
  3. Step 3: Cross multiply
    99,236x = 136,945.68 × 54,524
  4. Step 4: Simplify right side
    99,236x = 7,466,826,256.32
  5. Step 5: Solve for x
    x = 7,466,826,256.32/99,236
  6. Step 6: Final answer
    x = 75,243.12

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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.