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Finding the Fourth Proportional to 207,658.07, 311,513.06 and 81,282

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Solution

The fourth proportional to 207,658.07, 311,513.06 and 81,282 is: 121,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,658.07 : 311,513.06 = 81,282 : x
  2. Step 2: Convert to fraction form
    207,658.07/311,513.06 = 81,282/x
  3. Step 3: Cross multiply
    207,658.07x = 311,513.06 × 81,282
  4. Step 4: Simplify right side
    207,658.07x = 25,320,404,542.92
  5. Step 5: Solve for x
    x = 25,320,404,542.92/207,658.07
  6. Step 6: Final answer
    x = 121,933.16

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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.