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Finding the Fourth Proportional to 104,838.30, 144,815.31 and 77,669.55

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Solution

The fourth proportional to 104,838.30, 144,815.31 and 77,669.55 is: 107,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,838.30 : 144,815.31 = 77,669.55 : x
  2. Step 2: Convert to fraction form
    104,838.30/144,815.31 = 77,669.55/x
  3. Step 3: Cross multiply
    104,838.30x = 144,815.31 × 77,669.55
  4. Step 4: Simplify right side
    104,838.30x = 11,247,739,960.81
  5. Step 5: Solve for x
    x = 11,247,739,960.81/104,838.30
  6. Step 6: Final answer
    x = 107,286.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.