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Finding the Fourth Proportional to 288,103.92, 397,535.86 and 160,779.20

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Solution

The fourth proportional to 288,103.92, 397,535.86 and 160,779.20 is: 221,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,103.92 : 397,535.86 = 160,779.20 : x
  2. Step 2: Convert to fraction form
    288,103.92/397,535.86 = 160,779.20/x
  3. Step 3: Cross multiply
    288,103.92x = 397,535.86 × 160,779.20
  4. Step 4: Simplify right side
    288,103.92x = 63,915,497,542.11
  5. Step 5: Solve for x
    x = 63,915,497,542.11/288,103.92
  6. Step 6: Final answer
    x = 221,848.76

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