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Finding the Fourth Proportional to 194,314.64, 291,471.95 and 75,902.94

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Solution

The fourth proportional to 194,314.64, 291,471.95 and 75,902.94 is: 113,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,314.64 : 291,471.95 = 75,902.94 : x
  2. Step 2: Convert to fraction form
    194,314.64/291,471.95 = 75,902.94/x
  3. Step 3: Cross multiply
    194,314.64x = 291,471.95 × 75,902.94
  4. Step 4: Simplify right side
    194,314.64x = 22,123,577,433.46
  5. Step 5: Solve for x
    x = 22,123,577,433.46/194,314.64
  6. Step 6: Final answer
    x = 113,854.41

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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.