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Finding the Fourth Proportional to 152,380.25, 210,273.29 and 87,803.61

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Solution

The fourth proportional to 152,380.25, 210,273.29 and 87,803.61 is: 121,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,380.25 : 210,273.29 = 87,803.61 : x
  2. Step 2: Convert to fraction form
    152,380.25/210,273.29 = 87,803.61/x
  3. Step 3: Cross multiply
    152,380.25x = 210,273.29 × 87,803.61
  4. Step 4: Simplify right side
    152,380.25x = 18,462,753,948.58
  5. Step 5: Solve for x
    x = 18,462,753,948.58/152,380.25
  6. Step 6: Final answer
    x = 121,162.38

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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.