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Finding the Fourth Proportional to 367,052.64, 550,513.14 and 100,778.10

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Solution

The fourth proportional to 367,052.64, 550,513.14 and 100,778.10 is: 151,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,052.64 : 550,513.14 = 100,778.10 : x
  2. Step 2: Convert to fraction form
    367,052.64/550,513.14 = 100,778.10/x
  3. Step 3: Cross multiply
    367,052.64x = 550,513.14 × 100,778.10
  4. Step 4: Simplify right side
    367,052.64x = 55,479,668,274.23
  5. Step 5: Solve for x
    x = 55,479,668,274.23/367,052.64
  6. Step 6: Final answer
    x = 151,149.08

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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.