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Finding the Fourth Proportional to 206,271.78, 284,655.71 and 114,397.62

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Solution

The fourth proportional to 206,271.78, 284,655.71 and 114,397.62 is: 157,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,271.78 : 284,655.71 = 114,397.62 : x
  2. Step 2: Convert to fraction form
    206,271.78/284,655.71 = 114,397.62/x
  3. Step 3: Cross multiply
    206,271.78x = 284,655.71 × 114,397.62
  4. Step 4: Simplify right side
    206,271.78x = 32,563,935,171.42
  5. Step 5: Solve for x
    x = 32,563,935,171.42/206,271.78
  6. Step 6: Final answer
    x = 157,869.08

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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.