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Finding the Fourth Proportional to 107,641.44, 148,599 and 83,388.44

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Solution

The fourth proportional to 107,641.44, 148,599 and 83,388.44 is: 115,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,641.44 : 148,599 = 83,388.44 : x
  2. Step 2: Convert to fraction form
    107,641.44/148,599 = 83,388.44/x
  3. Step 3: Cross multiply
    107,641.44x = 148,599 × 83,388.44
  4. Step 4: Simplify right side
    107,641.44x = 12,391,438,795.56
  5. Step 5: Solve for x
    x = 12,391,438,795.56/107,641.44
  6. Step 6: Final answer
    x = 115,117.74

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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.