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Finding the Fourth Proportional to 210,822.60, 316,233.90 and 132,025.80

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Solution

The fourth proportional to 210,822.60, 316,233.90 and 132,025.80 is: 198,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,822.60 : 316,233.90 = 132,025.80 : x
  2. Step 2: Convert to fraction form
    210,822.60/316,233.90 = 132,025.80/x
  3. Step 3: Cross multiply
    210,822.60x = 316,233.90 × 132,025.80
  4. Step 4: Simplify right side
    210,822.60x = 41,751,033,634.62
  5. Step 5: Solve for x
    x = 41,751,033,634.62/210,822.60
  6. Step 6: Final answer
    x = 198,038.70

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