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Finding the Fourth Proportional to 270,993.47, 374,023.31 and 156,346.16

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Solution

The fourth proportional to 270,993.47, 374,023.31 and 156,346.16 is: 215,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,993.47 : 374,023.31 = 156,346.16 : x
  2. Step 2: Convert to fraction form
    270,993.47/374,023.31 = 156,346.16/x
  3. Step 3: Cross multiply
    270,993.47x = 374,023.31 × 156,346.16
  4. Step 4: Simplify right side
    270,993.47x = 58,477,105,617.14
  5. Step 5: Solve for x
    x = 58,477,105,617.14/270,993.47
  6. Step 6: Final answer
    x = 215,787.88

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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.