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Finding the Fourth Proportional to 150,034, 225,053.16 and 39,226

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Solution

The fourth proportional to 150,034, 225,053.16 and 39,226 is: 58,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,034 : 225,053.16 = 39,226 : x
  2. Step 2: Convert to fraction form
    150,034/225,053.16 = 39,226/x
  3. Step 3: Cross multiply
    150,034x = 225,053.16 × 39,226
  4. Step 4: Simplify right side
    150,034x = 8,827,935,254.16
  5. Step 5: Solve for x
    x = 8,827,935,254.16/150,034
  6. Step 6: Final answer
    x = 58,839.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.