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Finding the Fourth Proportional to 194,451.50, 291,667.50 and 76,144.52

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Solution

The fourth proportional to 194,451.50, 291,667.50 and 76,144.52 is: 114,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,451.50 : 291,667.50 = 76,144.52 : x
  2. Step 2: Convert to fraction form
    194,451.50/291,667.50 = 76,144.52/x
  3. Step 3: Cross multiply
    194,451.50x = 291,667.50 × 76,144.52
  4. Step 4: Simplify right side
    194,451.50x = 22,208,881,787.10
  5. Step 5: Solve for x
    x = 22,208,881,787.10/194,451.50
  6. Step 6: Final answer
    x = 114,212.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.