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Finding the Fourth Proportional to 194,191.38, 291,290.72 and 53,953.66

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Solution

The fourth proportional to 194,191.38, 291,290.72 and 53,953.66 is: 80,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,191.38 : 291,290.72 = 53,953.66 : x
  2. Step 2: Convert to fraction form
    194,191.38/291,290.72 = 53,953.66/x
  3. Step 3: Cross multiply
    194,191.38x = 291,290.72 × 53,953.66
  4. Step 4: Simplify right side
    194,191.38x = 15,716,200,468.04
  5. Step 5: Solve for x
    x = 15,716,200,468.04/194,191.38
  6. Step 6: Final answer
    x = 80,931.50

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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.