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Finding the Fourth Proportional to 165,641.40, 248,169.30 and 160,159.80

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Solution

The fourth proportional to 165,641.40, 248,169.30 and 160,159.80 is: 239,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,641.40 : 248,169.30 = 160,159.80 : x
  2. Step 2: Convert to fraction form
    165,641.40/248,169.30 = 160,159.80/x
  3. Step 3: Cross multiply
    165,641.40x = 248,169.30 × 160,159.80
  4. Step 4: Simplify right side
    165,641.40x = 39,746,745,454.14
  5. Step 5: Solve for x
    x = 39,746,745,454.14/165,641.40
  6. Step 6: Final answer
    x = 239,956.59

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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.