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Finding the Fourth Proportional to 140,754.61, 210,602.13 and 98,716.73

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Solution

The fourth proportional to 140,754.61, 210,602.13 and 98,716.73 is: 147,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,754.61 : 210,602.13 = 98,716.73 : x
  2. Step 2: Convert to fraction form
    140,754.61/210,602.13 = 98,716.73/x
  3. Step 3: Cross multiply
    140,754.61x = 210,602.13 × 98,716.73
  4. Step 4: Simplify right side
    140,754.61x = 20,789,952,181.44
  5. Step 5: Solve for x
    x = 20,789,952,181.44/140,754.61
  6. Step 6: Final answer
    x = 147,703.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.