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Finding the Fourth Proportional to 221,317.96, 305,407.38 and 120,696.52

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Solution

The fourth proportional to 221,317.96, 305,407.38 and 120,696.52 is: 166,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,317.96 : 305,407.38 = 120,696.52 : x
  2. Step 2: Convert to fraction form
    221,317.96/305,407.38 = 120,696.52/x
  3. Step 3: Cross multiply
    221,317.96x = 305,407.38 × 120,696.52
  4. Step 4: Simplify right side
    221,317.96x = 36,861,607,948.32
  5. Step 5: Solve for x
    x = 36,861,607,948.32/221,317.96
  6. Step 6: Final answer
    x = 166,554.98

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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.