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Finding the Fourth Proportional to 182,978.64, 252,521.64 and 102,404.49

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Solution

The fourth proportional to 182,978.64, 252,521.64 and 102,404.49 is: 141,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,978.64 : 252,521.64 = 102,404.49 : x
  2. Step 2: Convert to fraction form
    182,978.64/252,521.64 = 102,404.49/x
  3. Step 3: Cross multiply
    182,978.64x = 252,521.64 × 102,404.49
  4. Step 4: Simplify right side
    182,978.64x = 25,859,349,758.16
  5. Step 5: Solve for x
    x = 25,859,349,758.16/182,978.64
  6. Step 6: Final answer
    x = 141,324.42

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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.