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Finding the Fourth Proportional to 182,602.28, 251,990.61 and 102,029.86

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Solution

The fourth proportional to 182,602.28, 251,990.61 and 102,029.86 is: 140,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,602.28 : 251,990.61 = 102,029.86 : x
  2. Step 2: Convert to fraction form
    182,602.28/251,990.61 = 102,029.86/x
  3. Step 3: Cross multiply
    182,602.28x = 251,990.61 × 102,029.86
  4. Step 4: Simplify right side
    182,602.28x = 25,710,567,165.91
  5. Step 5: Solve for x
    x = 25,710,567,165.91/182,602.28
  6. Step 6: Final answer
    x = 140,800.91

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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.