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Finding the Fourth Proportional to 160,940.91, 222,088.10 and 89,320.98

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Solution

The fourth proportional to 160,940.91, 222,088.10 and 89,320.98 is: 123,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,940.91 : 222,088.10 = 89,320.98 : x
  2. Step 2: Convert to fraction form
    160,940.91/222,088.10 = 89,320.98/x
  3. Step 3: Cross multiply
    160,940.91x = 222,088.10 × 89,320.98
  4. Step 4: Simplify right side
    160,940.91x = 19,837,125,851.20
  5. Step 5: Solve for x
    x = 19,837,125,851.20/160,940.91
  6. Step 6: Final answer
    x = 123,257.20

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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.