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Finding the Fourth Proportional to 141,123.42, 194,752.62 and 77,467.14

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Solution

The fourth proportional to 141,123.42, 194,752.62 and 77,467.14 is: 106,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,123.42 : 194,752.62 = 77,467.14 : x
  2. Step 2: Convert to fraction form
    141,123.42/194,752.62 = 77,467.14/x
  3. Step 3: Cross multiply
    141,123.42x = 194,752.62 × 77,467.14
  4. Step 4: Simplify right side
    141,123.42x = 15,086,928,478.91
  5. Step 5: Solve for x
    x = 15,086,928,478.91/141,123.42
  6. Step 6: Final answer
    x = 106,905.92

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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.