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Finding the Fourth Proportional to 106,654.56, 147,202.18 and 61,329.02

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Solution

The fourth proportional to 106,654.56, 147,202.18 and 61,329.02 is: 84,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,654.56 : 147,202.18 = 61,329.02 : x
  2. Step 2: Convert to fraction form
    106,654.56/147,202.18 = 61,329.02/x
  3. Step 3: Cross multiply
    106,654.56x = 147,202.18 × 61,329.02
  4. Step 4: Simplify right side
    106,654.56x = 9,027,765,441.26
  5. Step 5: Solve for x
    x = 9,027,765,441.26/106,654.56
  6. Step 6: Final answer
    x = 84,644.91

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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.