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Finding the Fourth Proportional to 160,805.17, 221,924.76 and 89,208.25

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Solution

The fourth proportional to 160,805.17, 221,924.76 and 89,208.25 is: 123,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,805.17 : 221,924.76 = 89,208.25 : x
  2. Step 2: Convert to fraction form
    160,805.17/221,924.76 = 89,208.25/x
  3. Step 3: Cross multiply
    160,805.17x = 221,924.76 × 89,208.25
  4. Step 4: Simplify right side
    160,805.17x = 19,797,519,471.27
  5. Step 5: Solve for x
    x = 19,797,519,471.27/160,805.17
  6. Step 6: Final answer
    x = 123,114.94

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1.5x scale

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.