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Finding the Fourth Proportional to 182,378.52, 251,686.35 and 100,706.56

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Solution

The fourth proportional to 182,378.52, 251,686.35 and 100,706.56 is: 138,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,378.52 : 251,686.35 = 100,706.56 : x
  2. Step 2: Convert to fraction form
    182,378.52/251,686.35 = 100,706.56/x
  3. Step 3: Cross multiply
    182,378.52x = 251,686.35 × 100,706.56
  4. Step 4: Simplify right side
    182,378.52x = 25,346,466,822.06
  5. Step 5: Solve for x
    x = 25,346,466,822.06/182,378.52
  6. Step 6: Final answer
    x = 138,977.26

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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.