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Finding the Fourth Proportional to 160,069.29, 240,101.19 and 47,749.83

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Solution

The fourth proportional to 160,069.29, 240,101.19 and 47,749.83 is: 71,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,069.29 : 240,101.19 = 47,749.83 : x
  2. Step 2: Convert to fraction form
    160,069.29/240,101.19 = 47,749.83/x
  3. Step 3: Cross multiply
    160,069.29x = 240,101.19 × 47,749.83
  4. Step 4: Simplify right side
    160,069.29x = 11,464,790,104.92
  5. Step 5: Solve for x
    x = 11,464,790,104.92/160,069.29
  6. Step 6: Final answer
    x = 71,623.92

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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.