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Finding the Fourth Proportional to 270,274.36, 372,978.56 and 147,767.18

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Solution

The fourth proportional to 270,274.36, 372,978.56 and 147,767.18 is: 203,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,274.36 : 372,978.56 = 147,767.18 : x
  2. Step 2: Convert to fraction form
    270,274.36/372,978.56 = 147,767.18/x
  3. Step 3: Cross multiply
    270,274.36x = 372,978.56 × 147,767.18
  4. Step 4: Simplify right side
    270,274.36x = 55,113,990,011.66
  5. Step 5: Solve for x
    x = 55,113,990,011.66/270,274.36
  6. Step 6: Final answer
    x = 203,918.68

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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.