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Finding the Fourth Proportional to 274,025.27, 378,154.74 and 160,848.02

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Solution

The fourth proportional to 274,025.27, 378,154.74 and 160,848.02 is: 221,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,025.27 : 378,154.74 = 160,848.02 : x
  2. Step 2: Convert to fraction form
    274,025.27/378,154.74 = 160,848.02/x
  3. Step 3: Cross multiply
    274,025.27x = 378,154.74 × 160,848.02
  4. Step 4: Simplify right side
    274,025.27x = 60,825,442,128.00
  5. Step 5: Solve for x
    x = 60,825,442,128.00/274,025.27
  6. Step 6: Final answer
    x = 221,970.19

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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.