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Finding the Fourth Proportional to 160,147.80, 240,249.33 and 65,429.46

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Solution

The fourth proportional to 160,147.80, 240,249.33 and 65,429.46 is: 98,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,147.80 : 240,249.33 = 65,429.46 : x
  2. Step 2: Convert to fraction form
    160,147.80/240,249.33 = 65,429.46/x
  3. Step 3: Cross multiply
    160,147.80x = 240,249.33 × 65,429.46
  4. Step 4: Simplify right side
    160,147.80x = 15,719,383,927.26
  5. Step 5: Solve for x
    x = 15,719,383,927.26/160,147.80
  6. Step 6: Final answer
    x = 98,155.48

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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.