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Finding the Fourth Proportional to 80,202.69, 120,459.72 and 59,059.22

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Solution

The fourth proportional to 80,202.69, 120,459.72 and 59,059.22 is: 88,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,202.69 : 120,459.72 = 59,059.22 : x
  2. Step 2: Convert to fraction form
    80,202.69/120,459.72 = 59,059.22/x
  3. Step 3: Cross multiply
    80,202.69x = 120,459.72 × 59,059.22
  4. Step 4: Simplify right side
    80,202.69x = 7,114,256,502.32
  5. Step 5: Solve for x
    x = 7,114,256,502.32/80,202.69
  6. Step 6: Final answer
    x = 88,703.46

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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.