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Finding the Fourth Proportional to 207,650, 311,513.92 and 96,842

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Solution

The fourth proportional to 207,650, 311,513.92 and 96,842 is: 145,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,650 : 311,513.92 = 96,842 : x
  2. Step 2: Convert to fraction form
    207,650/311,513.92 = 96,842/x
  3. Step 3: Cross multiply
    207,650x = 311,513.92 × 96,842
  4. Step 4: Simplify right side
    207,650x = 30,167,631,040.64
  5. Step 5: Solve for x
    x = 30,167,631,040.64/207,650
  6. Step 6: Final answer
    x = 145,281.15

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Why These Related Problems?

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