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Finding the Fourth Proportional to 106,097.10, 146,406.87 and 60,775.26

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Solution

The fourth proportional to 106,097.10, 146,406.87 and 60,775.26 is: 83,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,097.10 : 146,406.87 = 60,775.26 : x
  2. Step 2: Convert to fraction form
    106,097.10/146,406.87 = 60,775.26/x
  3. Step 3: Cross multiply
    106,097.10x = 146,406.87 × 60,775.26
  4. Step 4: Simplify right side
    106,097.10x = 8,897,915,590.04
  5. Step 5: Solve for x
    x = 8,897,915,590.04/106,097.10
  6. Step 6: Final answer
    x = 83,865.78

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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.