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Finding the Fourth Proportional to 160,805.99, 221,928.48 and 89,199.98

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Solution

The fourth proportional to 160,805.99, 221,928.48 and 89,199.98 is: 123,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,805.99 : 221,928.48 = 89,199.98 : x
  2. Step 2: Convert to fraction form
    160,805.99/221,928.48 = 89,199.98/x
  3. Step 3: Cross multiply
    160,805.99x = 221,928.48 × 89,199.98
  4. Step 4: Simplify right side
    160,805.99x = 19,796,015,977.43
  5. Step 5: Solve for x
    x = 19,796,015,977.43/160,805.99
  6. Step 6: Final answer
    x = 123,104.97

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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.