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Finding the Fourth Proportional to 144,711.36, 199,647.36 and 85,095.36

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Solution

The fourth proportional to 144,711.36, 199,647.36 and 85,095.36 is: 117,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,711.36 : 199,647.36 = 85,095.36 : x
  2. Step 2: Convert to fraction form
    144,711.36/199,647.36 = 85,095.36/x
  3. Step 3: Cross multiply
    144,711.36x = 199,647.36 × 85,095.36
  4. Step 4: Simplify right side
    144,711.36x = 16,989,063,972.25
  5. Step 5: Solve for x
    x = 16,989,063,972.25/144,711.36
  6. Step 6: Final answer
    x = 117,399.66

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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.