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Finding the Fourth Proportional to 194,522.80, 291,742.08 and 52,364.56

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Solution

The fourth proportional to 194,522.80, 291,742.08 and 52,364.56 is: 78,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,522.80 : 291,742.08 = 52,364.56 : x
  2. Step 2: Convert to fraction form
    194,522.80/291,742.08 = 52,364.56/x
  3. Step 3: Cross multiply
    194,522.80x = 291,742.08 × 52,364.56
  4. Step 4: Simplify right side
    194,522.80x = 15,276,945,652.68
  5. Step 5: Solve for x
    x = 15,276,945,652.68/194,522.80
  6. Step 6: Final answer
    x = 78,535.50

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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.