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Finding the Fourth Proportional to 240,643.61, 331,847.30 and 160,074.53

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Solution

The fourth proportional to 240,643.61, 331,847.30 and 160,074.53 is: 220,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,643.61 : 331,847.30 = 160,074.53 : x
  2. Step 2: Convert to fraction form
    240,643.61/331,847.30 = 160,074.53/x
  3. Step 3: Cross multiply
    240,643.61x = 331,847.30 × 160,074.53
  4. Step 4: Simplify right side
    240,643.61x = 53,120,298,119.66
  5. Step 5: Solve for x
    x = 53,120,298,119.66/240,643.61
  6. Step 6: Final answer
    x = 220,742.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.