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Finding the Fourth Proportional to 120,659.34, 180,693.62 and 85,033.10

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Solution

The fourth proportional to 120,659.34, 180,693.62 and 85,033.10 is: 127,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,659.34 : 180,693.62 = 85,033.10 : x
  2. Step 2: Convert to fraction form
    120,659.34/180,693.62 = 85,033.10/x
  3. Step 3: Cross multiply
    120,659.34x = 180,693.62 × 85,033.10
  4. Step 4: Simplify right side
    120,659.34x = 15,364,938,658.82
  5. Step 5: Solve for x
    x = 15,364,938,658.82/120,659.34
  6. Step 6: Final answer
    x = 127,341.48

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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.