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Finding the Fourth Proportional to 203,110.14, 280,294.94 and 112,465.93

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Solution

The fourth proportional to 203,110.14, 280,294.94 and 112,465.93 is: 155,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,110.14 : 280,294.94 = 112,465.93 : x
  2. Step 2: Convert to fraction form
    203,110.14/280,294.94 = 112,465.93/x
  3. Step 3: Cross multiply
    203,110.14x = 280,294.94 × 112,465.93
  4. Step 4: Simplify right side
    203,110.14x = 31,523,631,101.39
  5. Step 5: Solve for x
    x = 31,523,631,101.39/203,110.14
  6. Step 6: Final answer
    x = 155,204.62

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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.