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Finding the Fourth Proportional to 194,752.72, 291,948.54 and 76,425.04

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Solution

The fourth proportional to 194,752.72, 291,948.54 and 76,425.04 is: 114,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,752.72 : 291,948.54 = 76,425.04 : x
  2. Step 2: Convert to fraction form
    194,752.72/291,948.54 = 76,425.04/x
  3. Step 3: Cross multiply
    194,752.72x = 291,948.54 × 76,425.04
  4. Step 4: Simplify right side
    194,752.72x = 22,312,178,847.44
  5. Step 5: Solve for x
    x = 22,312,178,847.44/194,752.72
  6. Step 6: Final answer
    x = 114,566.71

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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.