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Finding the Fourth Proportional to 194,177.20, 291,251.40 and 81,828.40

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Solution

The fourth proportional to 194,177.20, 291,251.40 and 81,828.40 is: 122,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,177.20 : 291,251.40 = 81,828.40 : x
  2. Step 2: Convert to fraction form
    194,177.20/291,251.40 = 81,828.40/x
  3. Step 3: Cross multiply
    194,177.20x = 291,251.40 × 81,828.40
  4. Step 4: Simplify right side
    194,177.20x = 23,832,636,059.76
  5. Step 5: Solve for x
    x = 23,832,636,059.76/194,177.20
  6. Step 6: Final answer
    x = 122,736.53

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1.5x scale

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.