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Finding the Fourth Proportional to 160,626.98, 221,308.38 and 106,082.28

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Solution

The fourth proportional to 160,626.98, 221,308.38 and 106,082.28 is: 146,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,626.98 : 221,308.38 = 106,082.28 : x
  2. Step 2: Convert to fraction form
    160,626.98/221,308.38 = 106,082.28/x
  3. Step 3: Cross multiply
    160,626.98x = 221,308.38 × 106,082.28
  4. Step 4: Simplify right side
    160,626.98x = 23,476,897,533.51
  5. Step 5: Solve for x
    x = 23,476,897,533.51/160,626.98
  6. Step 6: Final answer
    x = 146,157.88

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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.