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Finding the Fourth Proportional to 203,002.25, 280,143.65 and 112,364.46

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Solution

The fourth proportional to 203,002.25, 280,143.65 and 112,364.46 is: 155,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,002.25 : 280,143.65 = 112,364.46 : x
  2. Step 2: Convert to fraction form
    203,002.25/280,143.65 = 112,364.46/x
  3. Step 3: Cross multiply
    203,002.25x = 280,143.65 × 112,364.46
  4. Step 4: Simplify right side
    203,002.25x = 31,478,190,235.59
  5. Step 5: Solve for x
    x = 31,478,190,235.59/203,002.25
  6. Step 6: Final answer
    x = 155,063.26

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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.