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Finding the Fourth Proportional to 120,217.59, 180,342.80 and 50,080.50

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Solution

The fourth proportional to 120,217.59, 180,342.80 and 50,080.50 is: 75,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,217.59 : 180,342.80 = 50,080.50 : x
  2. Step 2: Convert to fraction form
    120,217.59/180,342.80 = 50,080.50/x
  3. Step 3: Cross multiply
    120,217.59x = 180,342.80 × 50,080.50
  4. Step 4: Simplify right side
    120,217.59x = 9,031,657,345.00
  5. Step 5: Solve for x
    x = 9,031,657,345.00/120,217.59
  6. Step 6: Final answer
    x = 75,127.59

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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.