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Finding the Fourth Proportional to 141,238, 194,905.08 and 77,575.60

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Solution

The fourth proportional to 141,238, 194,905.08 and 77,575.60 is: 107,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,238 : 194,905.08 = 77,575.60 : x
  2. Step 2: Convert to fraction form
    141,238/194,905.08 = 77,575.60/x
  3. Step 3: Cross multiply
    141,238x = 194,905.08 × 77,575.60
  4. Step 4: Simplify right side
    141,238x = 15,119,878,524.05
  5. Step 5: Solve for x
    x = 15,119,878,524.05/141,238
  6. Step 6: Final answer
    x = 107,052.48

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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.