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Finding the Fourth Proportional to 106,434.64, 146,865.96 and 61,114.60

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Solution

The fourth proportional to 106,434.64, 146,865.96 and 61,114.60 is: 84,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,434.64 : 146,865.96 = 61,114.60 : x
  2. Step 2: Convert to fraction form
    106,434.64/146,865.96 = 61,114.60/x
  3. Step 3: Cross multiply
    106,434.64x = 146,865.96 × 61,114.60
  4. Step 4: Simplify right side
    106,434.64x = 8,975,654,399.02
  5. Step 5: Solve for x
    x = 8,975,654,399.02/106,434.64
  6. Step 6: Final answer
    x = 84,330.20

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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.