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Finding the Fourth Proportional to 150,035.59, 207,029.06 and 82,971.91

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Solution

The fourth proportional to 150,035.59, 207,029.06 and 82,971.91 is: 114,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,035.59 : 207,029.06 = 82,971.91 : x
  2. Step 2: Convert to fraction form
    150,035.59/207,029.06 = 82,971.91/x
  3. Step 3: Cross multiply
    150,035.59x = 207,029.06 × 82,971.91
  4. Step 4: Simplify right side
    150,035.59x = 17,177,595,498.56
  5. Step 5: Solve for x
    x = 17,177,595,498.56/150,035.59
  6. Step 6: Final answer
    x = 114,490.14

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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.