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Finding the Fourth Proportional to 194,281.46, 291,249.30 and 75,925.88

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Solution

The fourth proportional to 194,281.46, 291,249.30 and 75,925.88 is: 113,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,281.46 : 291,249.30 = 75,925.88 : x
  2. Step 2: Convert to fraction form
    194,281.46/291,249.30 = 75,925.88/x
  3. Step 3: Cross multiply
    194,281.46x = 291,249.30 × 75,925.88
  4. Step 4: Simplify right side
    194,281.46x = 22,113,359,401.88
  5. Step 5: Solve for x
    x = 22,113,359,401.88/194,281.46
  6. Step 6: Final answer
    x = 113,821.25

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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.