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Finding the Fourth Proportional to 200,715.37, 276,967.25 and 115,859.77

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Solution

The fourth proportional to 200,715.37, 276,967.25 and 115,859.77 is: 159,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,715.37 : 276,967.25 = 115,859.77 : x
  2. Step 2: Convert to fraction form
    200,715.37/276,967.25 = 115,859.77/x
  3. Step 3: Cross multiply
    200,715.37x = 276,967.25 × 115,859.77
  4. Step 4: Simplify right side
    200,715.37x = 32,089,361,045.29
  5. Step 5: Solve for x
    x = 32,089,361,045.29/200,715.37
  6. Step 6: Final answer
    x = 159,874.96

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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.