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Finding the Fourth Proportional to 217,190.84, 299,723.42 and 132,307.90

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Solution

The fourth proportional to 217,190.84, 299,723.42 and 132,307.90 is: 182,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,190.84 : 299,723.42 = 132,307.90 : x
  2. Step 2: Convert to fraction form
    217,190.84/299,723.42 = 132,307.90/x
  3. Step 3: Cross multiply
    217,190.84x = 299,723.42 × 132,307.90
  4. Step 4: Simplify right side
    217,190.84x = 39,655,775,862.48
  5. Step 5: Solve for x
    x = 39,655,775,862.48/217,190.84
  6. Step 6: Final answer
    x = 182,584.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.