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Finding the Fourth Proportional to 150,478.98, 207,655.47 and 82,494.45

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Solution

The fourth proportional to 150,478.98, 207,655.47 and 82,494.45 is: 113,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,478.98 : 207,655.47 = 82,494.45 : x
  2. Step 2: Convert to fraction form
    150,478.98/207,655.47 = 82,494.45/x
  3. Step 3: Cross multiply
    150,478.98x = 207,655.47 × 82,494.45
  4. Step 4: Simplify right side
    150,478.98x = 17,130,423,787.14
  5. Step 5: Solve for x
    x = 17,130,423,787.14/150,478.98
  6. Step 6: Final answer
    x = 113,839.31

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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.