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Finding the Fourth Proportional to 132,264.16, 182,556 and 75,708.16

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Solution

The fourth proportional to 132,264.16, 182,556 and 75,708.16 is: 104,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,264.16 : 182,556 = 75,708.16 : x
  2. Step 2: Convert to fraction form
    132,264.16/182,556 = 75,708.16/x
  3. Step 3: Cross multiply
    132,264.16x = 182,556 × 75,708.16
  4. Step 4: Simplify right side
    132,264.16x = 13,820,978,856.96
  5. Step 5: Solve for x
    x = 13,820,978,856.96/132,264.16
  6. Step 6: Final answer
    x = 104,495.27

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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.