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Finding the Fourth Proportional to 206,295.30, 284,688.12 and 114,421.14

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Solution

The fourth proportional to 206,295.30, 284,688.12 and 114,421.14 is: 157,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,295.30 : 284,688.12 = 114,421.14 : x
  2. Step 2: Convert to fraction form
    206,295.30/284,688.12 = 114,421.14/x
  3. Step 3: Cross multiply
    206,295.30x = 284,688.12 × 114,421.14
  4. Step 4: Simplify right side
    206,295.30x = 32,574,339,234.86
  5. Step 5: Solve for x
    x = 32,574,339,234.86/206,295.30
  6. Step 6: Final answer
    x = 157,901.51

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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.