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Finding the Fourth Proportional to 106,433.16, 146,946.24 and 66,201.66

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Solution

The fourth proportional to 106,433.16, 146,946.24 and 66,201.66 is: 91,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,433.16 : 146,946.24 = 66,201.66 : x
  2. Step 2: Convert to fraction form
    106,433.16/146,946.24 = 66,201.66/x
  3. Step 3: Cross multiply
    106,433.16x = 146,946.24 × 66,201.66
  4. Step 4: Simplify right side
    106,433.16x = 9,728,085,018.76
  5. Step 5: Solve for x
    x = 9,728,085,018.76/106,433.16
  6. Step 6: Final answer
    x = 91,400.89

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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.