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Finding the Fourth Proportional to 160,796.19, 221,893.14 and 89,182.88

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Solution

The fourth proportional to 160,796.19, 221,893.14 and 89,182.88 is: 123,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,796.19 : 221,893.14 = 89,182.88 : x
  2. Step 2: Convert to fraction form
    160,796.19/221,893.14 = 89,182.88/x
  3. Step 3: Cross multiply
    160,796.19x = 221,893.14 × 89,182.88
  4. Step 4: Simplify right side
    160,796.19x = 19,789,068,167.98
  5. Step 5: Solve for x
    x = 19,789,068,167.98/160,796.19
  6. Step 6: Final answer
    x = 123,069.26

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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.