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Finding the Fourth Proportional to 165,805.13, 248,756.13 and 53,482.86

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Solution

The fourth proportional to 165,805.13, 248,756.13 and 53,482.86 is: 80,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,805.13 : 248,756.13 = 53,482.86 : x
  2. Step 2: Convert to fraction form
    165,805.13/248,756.13 = 53,482.86/x
  3. Step 3: Cross multiply
    165,805.13x = 248,756.13 × 53,482.86
  4. Step 4: Simplify right side
    165,805.13x = 13,304,189,274.93
  5. Step 5: Solve for x
    x = 13,304,189,274.93/165,805.13
  6. Step 6: Final answer
    x = 80,239.91

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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.