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Finding the Fourth Proportional to 254,002.08, 380,973.96 and 67,028.16

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Solution

The fourth proportional to 254,002.08, 380,973.96 and 67,028.16 is: 100,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,002.08 : 380,973.96 = 67,028.16 : x
  2. Step 2: Convert to fraction form
    254,002.08/380,973.96 = 67,028.16/x
  3. Step 3: Cross multiply
    254,002.08x = 380,973.96 × 67,028.16
  4. Step 4: Simplify right side
    254,002.08x = 25,535,983,546.71
  5. Step 5: Solve for x
    x = 25,535,983,546.71/254,002.08
  6. Step 6: Final answer
    x = 100,534.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.