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Finding the Fourth Proportional to 107,014.75, 147,678.31 and 59,268.49

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Solution

The fourth proportional to 107,014.75, 147,678.31 and 59,268.49 is: 81,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,014.75 : 147,678.31 = 59,268.49 : x
  2. Step 2: Convert to fraction form
    107,014.75/147,678.31 = 59,268.49/x
  3. Step 3: Cross multiply
    107,014.75x = 147,678.31 × 59,268.49
  4. Step 4: Simplify right side
    107,014.75x = 8,752,670,439.45
  5. Step 5: Solve for x
    x = 8,752,670,439.45/107,014.75
  6. Step 6: Final answer
    x = 81,789.38

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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.