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Finding the Fourth Proportional to 106,188.14, 146,522.84 and 60,857.39

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Solution

The fourth proportional to 106,188.14, 146,522.84 and 60,857.39 is: 83,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,188.14 : 146,522.84 = 60,857.39 : x
  2. Step 2: Convert to fraction form
    106,188.14/146,522.84 = 60,857.39/x
  3. Step 3: Cross multiply
    106,188.14x = 146,522.84 × 60,857.39
  4. Step 4: Simplify right side
    106,188.14x = 8,916,996,580.89
  5. Step 5: Solve for x
    x = 8,916,996,580.89/106,188.14
  6. Step 6: Final answer
    x = 83,973.57

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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.