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Finding the Fourth Proportional to 107,563.49, 148,180.70 and 75,237.75

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Solution

The fourth proportional to 107,563.49, 148,180.70 and 75,237.75 is: 103,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,563.49 : 148,180.70 = 75,237.75 : x
  2. Step 2: Convert to fraction form
    107,563.49/148,180.70 = 75,237.75/x
  3. Step 3: Cross multiply
    107,563.49x = 148,180.70 × 75,237.75
  4. Step 4: Simplify right side
    107,563.49x = 11,148,783,008.53
  5. Step 5: Solve for x
    x = 11,148,783,008.53/107,563.49
  6. Step 6: Final answer
    x = 103,648.39

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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.