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Finding the Fourth Proportional to 132,506.78, 182,864.16 and 75,929.09

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Solution

The fourth proportional to 132,506.78, 182,864.16 and 75,929.09 is: 104,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,506.78 : 182,864.16 = 75,929.09 : x
  2. Step 2: Convert to fraction form
    132,506.78/182,864.16 = 75,929.09/x
  3. Step 3: Cross multiply
    132,506.78x = 182,864.16 × 75,929.09
  4. Step 4: Simplify right side
    132,506.78x = 13,884,708,348.09
  5. Step 5: Solve for x
    x = 13,884,708,348.09/132,506.78
  6. Step 6: Final answer
    x = 104,784.89

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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.