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Finding the Fourth Proportional to 253,694, 380,526.42 and 76,197.08

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Solution

The fourth proportional to 253,694, 380,526.42 and 76,197.08 is: 114,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,694 : 380,526.42 = 76,197.08 : x
  2. Step 2: Convert to fraction form
    253,694/380,526.42 = 76,197.08/x
  3. Step 3: Cross multiply
    253,694x = 380,526.42 × 76,197.08
  4. Step 4: Simplify right side
    253,694x = 28,995,002,066.85
  5. Step 5: Solve for x
    x = 28,995,002,066.85/253,694
  6. Step 6: Final answer
    x = 114,291.24

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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.