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Finding the Fourth Proportional to 312,823.68, 469,188 and 102,456.96

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Solution

The fourth proportional to 312,823.68, 469,188 and 102,456.96 is: 153,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,823.68 : 469,188 = 102,456.96 : x
  2. Step 2: Convert to fraction form
    312,823.68/469,188 = 102,456.96/x
  3. Step 3: Cross multiply
    312,823.68x = 469,188 × 102,456.96
  4. Step 4: Simplify right side
    312,823.68x = 48,071,576,148.48
  5. Step 5: Solve for x
    x = 48,071,576,148.48/312,823.68
  6. Step 6: Final answer
    x = 153,669.88

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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.