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Finding the Fourth Proportional to 129,502.16, 194,287.80 and 46,404.56

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Solution

The fourth proportional to 129,502.16, 194,287.80 and 46,404.56 is: 69,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,502.16 : 194,287.80 = 46,404.56 : x
  2. Step 2: Convert to fraction form
    129,502.16/194,287.80 = 46,404.56/x
  3. Step 3: Cross multiply
    129,502.16x = 194,287.80 × 46,404.56
  4. Step 4: Simplify right side
    129,502.16x = 9,015,839,872.37
  5. Step 5: Solve for x
    x = 9,015,839,872.37/129,502.16
  6. Step 6: Final answer
    x = 69,619.22

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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.