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Finding the Fourth Proportional to 200,901.84, 277,235.28 and 110,255.52

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Solution

The fourth proportional to 200,901.84, 277,235.28 and 110,255.52 is: 152,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,901.84 : 277,235.28 = 110,255.52 : x
  2. Step 2: Convert to fraction form
    200,901.84/277,235.28 = 110,255.52/x
  3. Step 3: Cross multiply
    200,901.84x = 277,235.28 × 110,255.52
  4. Step 4: Simplify right side
    200,901.84x = 30,566,719,958.75
  5. Step 5: Solve for x
    x = 30,566,719,958.75/200,901.84
  6. Step 6: Final answer
    x = 152,147.54

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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.