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Finding the Fourth Proportional to 160,805.30, 221,924.93 and 89,208.38

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Solution

The fourth proportional to 160,805.30, 221,924.93 and 89,208.38 is: 123,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,805.30 : 221,924.93 = 89,208.38 : x
  2. Step 2: Convert to fraction form
    160,805.30/221,924.93 = 89,208.38/x
  3. Step 3: Cross multiply
    160,805.30x = 221,924.93 × 89,208.38
  4. Step 4: Simplify right side
    160,805.30x = 19,797,561,931.25
  5. Step 5: Solve for x
    x = 19,797,561,931.25/160,805.30
  6. Step 6: Final answer
    x = 123,115.11

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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.