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Finding the Fourth Proportional to 161,453.52, 241,959.15 and 82,401.98

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Solution

The fourth proportional to 161,453.52, 241,959.15 and 82,401.98 is: 123,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,453.52 : 241,959.15 = 82,401.98 : x
  2. Step 2: Convert to fraction form
    161,453.52/241,959.15 = 82,401.98/x
  3. Step 3: Cross multiply
    161,453.52x = 241,959.15 × 82,401.98
  4. Step 4: Simplify right side
    161,453.52x = 19,937,911,829.32
  5. Step 5: Solve for x
    x = 19,937,911,829.32/161,453.52
  6. Step 6: Final answer
    x = 123,490.10

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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.