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Finding the Fourth Proportional to 106,679.02, 147,221.52 and 61,357.02

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Solution

The fourth proportional to 106,679.02, 147,221.52 and 61,357.02 is: 84,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,679.02 : 147,221.52 = 61,357.02 : x
  2. Step 2: Convert to fraction form
    106,679.02/147,221.52 = 61,357.02/x
  3. Step 3: Cross multiply
    106,679.02x = 147,221.52 × 61,357.02
  4. Step 4: Simplify right side
    106,679.02x = 9,033,073,010.96
  5. Step 5: Solve for x
    x = 9,033,073,010.96/106,679.02
  6. Step 6: Final answer
    x = 84,675.25

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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.