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Finding the Fourth Proportional to 194,703.78, 291,930.12 and 76,387.08

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Solution

The fourth proportional to 194,703.78, 291,930.12 and 76,387.08 is: 114,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,703.78 : 291,930.12 = 76,387.08 : x
  2. Step 2: Convert to fraction form
    194,703.78/291,930.12 = 76,387.08/x
  3. Step 3: Cross multiply
    194,703.78x = 291,930.12 × 76,387.08
  4. Step 4: Simplify right side
    194,703.78x = 22,299,689,430.85
  5. Step 5: Solve for x
    x = 22,299,689,430.85/194,703.78
  6. Step 6: Final answer
    x = 114,531.36

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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.