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Finding the Fourth Proportional to 165,145.68, 247,784.16 and 52,843.20

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Solution

The fourth proportional to 165,145.68, 247,784.16 and 52,843.20 is: 79,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,145.68 : 247,784.16 = 52,843.20 : x
  2. Step 2: Convert to fraction form
    165,145.68/247,784.16 = 52,843.20/x
  3. Step 3: Cross multiply
    165,145.68x = 247,784.16 × 52,843.20
  4. Step 4: Simplify right side
    165,145.68x = 13,093,707,923.71
  5. Step 5: Solve for x
    x = 13,093,707,923.71/165,145.68
  6. Step 6: Final answer
    x = 79,285.80

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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.