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Finding the Fourth Proportional to 150,084.81, 207,116.96 and 82,101.76

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Solution

The fourth proportional to 150,084.81, 207,116.96 and 82,101.76 is: 113,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,084.81 : 207,116.96 = 82,101.76 : x
  2. Step 2: Convert to fraction form
    150,084.81/207,116.96 = 82,101.76/x
  3. Step 3: Cross multiply
    150,084.81x = 207,116.96 × 82,101.76
  4. Step 4: Simplify right side
    150,084.81x = 17,004,666,013.55
  5. Step 5: Solve for x
    x = 17,004,666,013.55/150,084.81
  6. Step 6: Final answer
    x = 113,300.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.