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Finding the Fourth Proportional to 102,212.84, 141,036.16 and 93,944.94

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Solution

The fourth proportional to 102,212.84, 141,036.16 and 93,944.94 is: 129,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,212.84 : 141,036.16 = 93,944.94 : x
  2. Step 2: Convert to fraction form
    102,212.84/141,036.16 = 93,944.94/x
  3. Step 3: Cross multiply
    102,212.84x = 141,036.16 × 93,944.94
  4. Step 4: Simplify right side
    102,212.84x = 13,249,633,589.03
  5. Step 5: Solve for x
    x = 13,249,633,589.03/102,212.84
  6. Step 6: Final answer
    x = 129,627.88

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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.