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Finding the Fourth Proportional to 150,486, 207,665.13 and 82,501.48

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Solution

The fourth proportional to 150,486, 207,665.13 and 82,501.48 is: 113,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,486 : 207,665.13 = 82,501.48 : x
  2. Step 2: Convert to fraction form
    150,486/207,665.13 = 82,501.48/x
  3. Step 3: Cross multiply
    150,486x = 207,665.13 × 82,501.48
  4. Step 4: Simplify right side
    150,486x = 17,132,680,569.39
  5. Step 5: Solve for x
    x = 17,132,680,569.39/150,486
  6. Step 6: Final answer
    x = 113,849.00

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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.