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Finding the Fourth Proportional to 201,904.53, 278,628.34 and 110,023.20

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Solution

The fourth proportional to 201,904.53, 278,628.34 and 110,023.20 is: 151,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,904.53 : 278,628.34 = 110,023.20 : x
  2. Step 2: Convert to fraction form
    201,904.53/278,628.34 = 110,023.20/x
  3. Step 3: Cross multiply
    201,904.53x = 278,628.34 × 110,023.20
  4. Step 4: Simplify right side
    201,904.53x = 30,655,580,257.57
  5. Step 5: Solve for x
    x = 30,655,580,257.57/201,904.53
  6. Step 6: Final answer
    x = 151,832.05

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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.