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Finding the Fourth Proportional to 218,294.64, 301,240.08 and 132,304.50

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Solution

The fourth proportional to 218,294.64, 301,240.08 and 132,304.50 is: 182,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,294.64 : 301,240.08 = 132,304.50 : x
  2. Step 2: Convert to fraction form
    218,294.64/301,240.08 = 132,304.50/x
  3. Step 3: Cross multiply
    218,294.64x = 301,240.08 × 132,304.50
  4. Step 4: Simplify right side
    218,294.64x = 39,855,418,164.36
  5. Step 5: Solve for x
    x = 39,855,418,164.36/218,294.64
  6. Step 6: Final answer
    x = 182,576.26

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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.