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Finding the Fourth Proportional to 160,959.52, 222,114 and 89,335.36

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Solution

The fourth proportional to 160,959.52, 222,114 and 89,335.36 is: 123,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,959.52 : 222,114 = 89,335.36 : x
  2. Step 2: Convert to fraction form
    160,959.52/222,114 = 89,335.36/x
  3. Step 3: Cross multiply
    160,959.52x = 222,114 × 89,335.36
  4. Step 4: Simplify right side
    160,959.52x = 19,842,634,151.04
  5. Step 5: Solve for x
    x = 19,842,634,151.04/160,959.52
  6. Step 6: Final answer
    x = 123,277.17

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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.