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Finding the Fourth Proportional to 211,547.27, 315,122.19 and 200,087.84

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Solution

The fourth proportional to 211,547.27, 315,122.19 and 200,087.84 is: 298,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,547.27 : 315,122.19 = 200,087.84 : x
  2. Step 2: Convert to fraction form
    211,547.27/315,122.19 = 200,087.84/x
  3. Step 3: Cross multiply
    211,547.27x = 315,122.19 × 200,087.84
  4. Step 4: Simplify right side
    211,547.27x = 63,052,116,757.56
  5. Step 5: Solve for x
    x = 63,052,116,757.56/211,547.27
  6. Step 6: Final answer
    x = 298,052.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.