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Finding the Fourth Proportional to 150,047.71, 207,058.16 and 82,051.52

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Solution

The fourth proportional to 150,047.71, 207,058.16 and 82,051.52 is: 113,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,047.71 : 207,058.16 = 82,051.52 : x
  2. Step 2: Convert to fraction form
    150,047.71/207,058.16 = 82,051.52/x
  3. Step 3: Cross multiply
    150,047.71x = 207,058.16 × 82,051.52
  4. Step 4: Simplify right side
    150,047.71x = 16,989,435,926.24
  5. Step 5: Solve for x
    x = 16,989,435,926.24/150,047.71
  6. Step 6: Final answer
    x = 113,226.89

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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.