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Finding the Fourth Proportional to 182,855.78, 252,339.69 and 102,282.98

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Solution

The fourth proportional to 182,855.78, 252,339.69 and 102,282.98 is: 141,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,855.78 : 252,339.69 = 102,282.98 : x
  2. Step 2: Convert to fraction form
    182,855.78/252,339.69 = 102,282.98/x
  3. Step 3: Cross multiply
    182,855.78x = 252,339.69 × 102,282.98
  4. Step 4: Simplify right side
    182,855.78x = 25,810,055,465.48
  5. Step 5: Solve for x
    x = 25,810,055,465.48/182,855.78
  6. Step 6: Final answer
    x = 141,149.79

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1.5x scale

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.