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Finding the Fourth Proportional to 198,783.96, 274,423.44 and 153,359.96

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Solution

The fourth proportional to 198,783.96, 274,423.44 and 153,359.96 is: 211,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,783.96 : 274,423.44 = 153,359.96 : x
  2. Step 2: Convert to fraction form
    198,783.96/274,423.44 = 153,359.96/x
  3. Step 3: Cross multiply
    198,783.96x = 274,423.44 × 153,359.96
  4. Step 4: Simplify right side
    198,783.96x = 42,085,567,781.46
  5. Step 5: Solve for x
    x = 42,085,567,781.46/198,783.96
  6. Step 6: Final answer
    x = 211,715.11

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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.