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Finding the Fourth Proportional to 194,098.60, 291,029.10 and 75,633.40

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Solution

The fourth proportional to 194,098.60, 291,029.10 and 75,633.40 is: 113,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,098.60 : 291,029.10 = 75,633.40 : x
  2. Step 2: Convert to fraction form
    194,098.60/291,029.10 = 75,633.40/x
  3. Step 3: Cross multiply
    194,098.60x = 291,029.10 × 75,633.40
  4. Step 4: Simplify right side
    194,098.60x = 22,011,520,331.94
  5. Step 5: Solve for x
    x = 22,011,520,331.94/194,098.60
  6. Step 6: Final answer
    x = 113,403.81

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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.