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Finding the Fourth Proportional to 203,109.32, 280,293.81 and 112,465.11

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Solution

The fourth proportional to 203,109.32, 280,293.81 and 112,465.11 is: 155,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,109.32 : 280,293.81 = 112,465.11 : x
  2. Step 2: Convert to fraction form
    203,109.32/280,293.81 = 112,465.11/x
  3. Step 3: Cross multiply
    203,109.32x = 280,293.81 × 112,465.11
  4. Step 4: Simplify right side
    203,109.32x = 31,523,274,173.97
  5. Step 5: Solve for x
    x = 31,523,274,173.97/203,109.32
  6. Step 6: Final answer
    x = 155,203.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.