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Finding the Fourth Proportional to 150,681.13, 207,947.50 and 82,697.51

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Solution

The fourth proportional to 150,681.13, 207,947.50 and 82,697.51 is: 114,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,681.13 : 207,947.50 = 82,697.51 : x
  2. Step 2: Convert to fraction form
    150,681.13/207,947.50 = 82,697.51/x
  3. Step 3: Cross multiply
    150,681.13x = 207,947.50 × 82,697.51
  4. Step 4: Simplify right side
    150,681.13x = 17,196,740,460.73
  5. Step 5: Solve for x
    x = 17,196,740,460.73/150,681.13
  6. Step 6: Final answer
    x = 114,126.70

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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.