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Finding the Fourth Proportional to 78,165.87, 117,247.76 and 19,001.37

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Solution

The fourth proportional to 78,165.87, 117,247.76 and 19,001.37 is: 28,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165.87 : 117,247.76 = 19,001.37 : x
  2. Step 2: Convert to fraction form
    78,165.87/117,247.76 = 19,001.37/x
  3. Step 3: Cross multiply
    78,165.87x = 117,247.76 × 19,001.37
  4. Step 4: Simplify right side
    78,165.87x = 2,227,867,974.42
  5. Step 5: Solve for x
    x = 2,227,867,974.42/78,165.87
  6. Step 6: Final answer
    x = 28,501.80

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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.