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Finding the Fourth Proportional to 204,549.50, 282,278.01 and 113,913.40

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Solution

The fourth proportional to 204,549.50, 282,278.01 and 113,913.40 is: 157,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,549.50 : 282,278.01 = 113,913.40 : x
  2. Step 2: Convert to fraction form
    204,549.50/282,278.01 = 113,913.40/x
  3. Step 3: Cross multiply
    204,549.50x = 282,278.01 × 113,913.40
  4. Step 4: Simplify right side
    204,549.50x = 32,155,247,864.33
  5. Step 5: Solve for x
    x = 32,155,247,864.33/204,549.50
  6. Step 6: Final answer
    x = 157,200.32

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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.