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Finding the Fourth Proportional to 205,813.79, 284,009.30 and 113,926.86

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Solution

The fourth proportional to 205,813.79, 284,009.30 and 113,926.86 is: 157,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,813.79 : 284,009.30 = 113,926.86 : x
  2. Step 2: Convert to fraction form
    205,813.79/284,009.30 = 113,926.86/x
  3. Step 3: Cross multiply
    205,813.79x = 284,009.30 × 113,926.86
  4. Step 4: Simplify right side
    205,813.79x = 32,356,289,057.00
  5. Step 5: Solve for x
    x = 32,356,289,057.00/205,813.79
  6. Step 6: Final answer
    x = 157,211.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.