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Finding the Fourth Proportional to 227,816.40, 341,724.60 and 78,006.90

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Solution

The fourth proportional to 227,816.40, 341,724.60 and 78,006.90 is: 117,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,816.40 : 341,724.60 = 78,006.90 : x
  2. Step 2: Convert to fraction form
    227,816.40/341,724.60 = 78,006.90/x
  3. Step 3: Cross multiply
    227,816.40x = 341,724.60 × 78,006.90
  4. Step 4: Simplify right side
    227,816.40x = 26,656,876,699.74
  5. Step 5: Solve for x
    x = 26,656,876,699.74/227,816.40
  6. Step 6: Final answer
    x = 117,010.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.