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Finding the Fourth Proportional to 194,178.70, 291,277.65 and 100,866.70

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Solution

The fourth proportional to 194,178.70, 291,277.65 and 100,866.70 is: 151,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,178.70 : 291,277.65 = 100,866.70 : x
  2. Step 2: Convert to fraction form
    194,178.70/291,277.65 = 100,866.70/x
  3. Step 3: Cross multiply
    194,178.70x = 291,277.65 × 100,866.70
  4. Step 4: Simplify right side
    194,178.70x = 29,380,215,339.26
  5. Step 5: Solve for x
    x = 29,380,215,339.26/194,178.70
  6. Step 6: Final answer
    x = 151,305.04

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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.