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Finding the Fourth Proportional to 207,658, 311,525.92 and 96,850

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Solution

The fourth proportional to 207,658, 311,525.92 and 96,850 is: 145,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,658 : 311,525.92 = 96,850 : x
  2. Step 2: Convert to fraction form
    207,658/311,525.92 = 96,850/x
  3. Step 3: Cross multiply
    207,658x = 311,525.92 × 96,850
  4. Step 4: Simplify right side
    207,658x = 30,171,285,352
  5. Step 5: Solve for x
    x = 30,171,285,352/207,658
  6. Step 6: Final answer
    x = 145,293.15

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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.