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Finding the Fourth Proportional to 107,064.59, 147,745.20 and 61,744.47

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Solution

The fourth proportional to 107,064.59, 147,745.20 and 61,744.47 is: 85,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,064.59 : 147,745.20 = 61,744.47 : x
  2. Step 2: Convert to fraction form
    107,064.59/147,745.20 = 61,744.47/x
  3. Step 3: Cross multiply
    107,064.59x = 147,745.20 × 61,744.47
  4. Step 4: Simplify right side
    107,064.59x = 9,122,449,069.04
  5. Step 5: Solve for x
    x = 9,122,449,069.04/107,064.59
  6. Step 6: Final answer
    x = 85,205.10

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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.