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Finding the Fourth Proportional to 291,481.26, 437,348.96 and 102,077.50

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Solution

The fourth proportional to 291,481.26, 437,348.96 and 102,077.50 is: 153,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,481.26 : 437,348.96 = 102,077.50 : x
  2. Step 2: Convert to fraction form
    291,481.26/437,348.96 = 102,077.50/x
  3. Step 3: Cross multiply
    291,481.26x = 437,348.96 × 102,077.50
  4. Step 4: Simplify right side
    291,481.26x = 44,643,486,860.64
  5. Step 5: Solve for x
    x = 44,643,486,860.64/291,481.26
  6. Step 6: Final answer
    x = 153,160.74

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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.