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Finding the Fourth Proportional to 194,056.50, 291,084.75 and 53,815.13

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Solution

The fourth proportional to 194,056.50, 291,084.75 and 53,815.13 is: 80,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,056.50 : 291,084.75 = 53,815.13 : x
  2. Step 2: Convert to fraction form
    194,056.50/291,084.75 = 53,815.13/x
  3. Step 3: Cross multiply
    194,056.50x = 291,084.75 × 53,815.13
  4. Step 4: Simplify right side
    194,056.50x = 15,664,762,206.84
  5. Step 5: Solve for x
    x = 15,664,762,206.84/194,056.50
  6. Step 6: Final answer
    x = 80,722.69

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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.