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Finding the Fourth Proportional to 230,823.27, 318,285.05 and 150,101.10

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Solution

The fourth proportional to 230,823.27, 318,285.05 and 150,101.10 is: 206,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,823.27 : 318,285.05 = 150,101.10 : x
  2. Step 2: Convert to fraction form
    230,823.27/318,285.05 = 150,101.10/x
  3. Step 3: Cross multiply
    230,823.27x = 318,285.05 × 150,101.10
  4. Step 4: Simplify right side
    230,823.27x = 47,774,935,368.05
  5. Step 5: Solve for x
    x = 47,774,935,368.05/230,823.27
  6. Step 6: Final answer
    x = 206,976.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.