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Finding the Fourth Proportional to 194,217.30, 291,325.95 and 132,009.30

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Solution

The fourth proportional to 194,217.30, 291,325.95 and 132,009.30 is: 198,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,217.30 : 291,325.95 = 132,009.30 : x
  2. Step 2: Convert to fraction form
    194,217.30/291,325.95 = 132,009.30/x
  3. Step 3: Cross multiply
    194,217.30x = 291,325.95 × 132,009.30
  4. Step 4: Simplify right side
    194,217.30x = 38,457,734,731.34
  5. Step 5: Solve for x
    x = 38,457,734,731.34/194,217.30
  6. Step 6: Final answer
    x = 198,013.95

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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.