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Finding the Fourth Proportional to 265,742.88, 398,163.30 and 160,340.46

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Solution

The fourth proportional to 265,742.88, 398,163.30 and 160,340.46 is: 240,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,742.88 : 398,163.30 = 160,340.46 : x
  2. Step 2: Convert to fraction form
    265,742.88/398,163.30 = 160,340.46/x
  3. Step 3: Cross multiply
    265,742.88x = 398,163.30 × 160,340.46
  4. Step 4: Simplify right side
    265,742.88x = 63,841,686,677.12
  5. Step 5: Solve for x
    x = 63,841,686,677.12/265,742.88
  6. Step 6: Final answer
    x = 240,238.56

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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.