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Finding the Fourth Proportional to 274,065.64, 378,052.86 and 160,866.52

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Solution

The fourth proportional to 274,065.64, 378,052.86 and 160,866.52 is: 221,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,065.64 : 378,052.86 = 160,866.52 : x
  2. Step 2: Convert to fraction form
    274,065.64/378,052.86 = 160,866.52/x
  3. Step 3: Cross multiply
    274,065.64x = 378,052.86 × 160,866.52
  4. Step 4: Simplify right side
    274,065.64x = 60,816,047,964.25
  5. Step 5: Solve for x
    x = 60,816,047,964.25/274,065.64
  6. Step 6: Final answer
    x = 221,903.22

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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.