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Finding the Fourth Proportional to 150,360.71, 207,497.70 and 82,382.00

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Solution

The fourth proportional to 150,360.71, 207,497.70 and 82,382.00 is: 113,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,360.71 : 207,497.70 = 82,382.00 : x
  2. Step 2: Convert to fraction form
    150,360.71/207,497.70 = 82,382.00/x
  3. Step 3: Cross multiply
    150,360.71x = 207,497.70 × 82,382.00
  4. Step 4: Simplify right side
    150,360.71x = 17,094,074,483.91
  5. Step 5: Solve for x
    x = 17,094,074,483.91/150,360.71
  6. Step 6: Final answer
    x = 113,687.11

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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.