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Finding the Fourth Proportional to 149,037.95, 223,509.50 and 49,179.53

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Solution

The fourth proportional to 149,037.95, 223,509.50 and 49,179.53 is: 73,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,037.95 : 223,509.50 = 49,179.53 : x
  2. Step 2: Convert to fraction form
    149,037.95/223,509.50 = 49,179.53/x
  3. Step 3: Cross multiply
    149,037.95x = 223,509.50 × 49,179.53
  4. Step 4: Simplify right side
    149,037.95x = 10,992,092,160.54
  5. Step 5: Solve for x
    x = 10,992,092,160.54/149,037.95
  6. Step 6: Final answer
    x = 73,753.65

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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.