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Finding the Fourth Proportional to 194,354.82, 291,569 and 76,018.68

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Solution

The fourth proportional to 194,354.82, 291,569 and 76,018.68 is: 114,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,354.82 : 291,569 = 76,018.68 : x
  2. Step 2: Convert to fraction form
    194,354.82/291,569 = 76,018.68/x
  3. Step 3: Cross multiply
    194,354.82x = 291,569 × 76,018.68
  4. Step 4: Simplify right side
    194,354.82x = 22,164,690,508.92
  5. Step 5: Solve for x
    x = 22,164,690,508.92/194,354.82
  6. Step 6: Final answer
    x = 114,042.40

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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.