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Finding the Fourth Proportional to 274,066.64, 378,054.24 and 160,867.52

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Solution

The fourth proportional to 274,066.64, 378,054.24 and 160,867.52 is: 221,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,066.64 : 378,054.24 = 160,867.52 : x
  2. Step 2: Convert to fraction form
    274,066.64/378,054.24 = 160,867.52/x
  3. Step 3: Cross multiply
    274,066.64x = 378,054.24 × 160,867.52
  4. Step 4: Simplify right side
    274,066.64x = 60,816,648,014.28
  5. Step 5: Solve for x
    x = 60,816,648,014.28/274,066.64
  6. Step 6: Final answer
    x = 221,904.60

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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.