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Finding the Fourth Proportional to 132,506.85, 182,864.21 and 75,929.16

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Solution

The fourth proportional to 132,506.85, 182,864.21 and 75,929.16 is: 104,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,506.85 : 182,864.21 = 75,929.16 : x
  2. Step 2: Convert to fraction form
    132,506.85/182,864.21 = 75,929.16/x
  3. Step 3: Cross multiply
    132,506.85x = 182,864.21 × 75,929.16
  4. Step 4: Simplify right side
    132,506.85x = 13,884,725,479.72
  5. Step 5: Solve for x
    x = 13,884,725,479.72/132,506.85
  6. Step 6: Final answer
    x = 104,784.96

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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.