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Finding the Fourth Proportional to 539,405.93, 809,123.48 and 140,037.86

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Solution

The fourth proportional to 539,405.93, 809,123.48 and 140,037.86 is: 210,060.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,405.93 : 809,123.48 = 140,037.86 : x
  2. Step 2: Convert to fraction form
    539,405.93/809,123.48 = 140,037.86/x
  3. Step 3: Cross multiply
    539,405.93x = 809,123.48 × 140,037.86
  4. Step 4: Simplify right side
    539,405.93x = 113,307,920,614.95
  5. Step 5: Solve for x
    x = 113,307,920,614.95/539,405.93
  6. Step 6: Final answer
    x = 210,060.58

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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.