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Finding the Fourth Proportional to 102,378.69, 141,369.83 and 64,202.45

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Solution

The fourth proportional to 102,378.69, 141,369.83 and 64,202.45 is: 88,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,378.69 : 141,369.83 = 64,202.45 : x
  2. Step 2: Convert to fraction form
    102,378.69/141,369.83 = 64,202.45/x
  3. Step 3: Cross multiply
    102,378.69x = 141,369.83 × 64,202.45
  4. Step 4: Simplify right side
    102,378.69x = 9,076,289,546.26
  5. Step 5: Solve for x
    x = 9,076,289,546.26/102,378.69
  6. Step 6: Final answer
    x = 88,654.09

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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.