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Finding the Fourth Proportional to 160,857.21, 221,983.22 and 89,237.24

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Solution

The fourth proportional to 160,857.21, 221,983.22 and 89,237.24 is: 123,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,857.21 : 221,983.22 = 89,237.24 : x
  2. Step 2: Convert to fraction form
    160,857.21/221,983.22 = 89,237.24/x
  3. Step 3: Cross multiply
    160,857.21x = 221,983.22 × 89,237.24
  4. Step 4: Simplify right side
    160,857.21x = 19,809,168,323.01
  5. Step 5: Solve for x
    x = 19,809,168,323.01/160,857.21
  6. Step 6: Final answer
    x = 123,147.53

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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.