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Finding the Fourth Proportional to 160,300.80, 221,175.36 and 103,644

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Solution

The fourth proportional to 160,300.80, 221,175.36 and 103,644 is: 143,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,300.80 : 221,175.36 = 103,644 : x
  2. Step 2: Convert to fraction form
    160,300.80/221,175.36 = 103,644/x
  3. Step 3: Cross multiply
    160,300.80x = 221,175.36 × 103,644
  4. Step 4: Simplify right side
    160,300.80x = 22,923,499,011.84
  5. Step 5: Solve for x
    x = 22,923,499,011.84/160,300.80
  6. Step 6: Final answer
    x = 143,003.02

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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.