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Finding the Fourth Proportional to 160,022.48, 220,821.84 and 95,564.40

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Solution

The fourth proportional to 160,022.48, 220,821.84 and 95,564.40 is: 131,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,022.48 : 220,821.84 = 95,564.40 : x
  2. Step 2: Convert to fraction form
    160,022.48/220,821.84 = 95,564.40/x
  3. Step 3: Cross multiply
    160,022.48x = 220,821.84 × 95,564.40
  4. Step 4: Simplify right side
    160,022.48x = 21,102,706,646.50
  5. Step 5: Solve for x
    x = 21,102,706,646.50/160,022.48
  6. Step 6: Final answer
    x = 131,873.39

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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.