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Finding the Fourth Proportional to 194,293.40, 291,353.70 and 89,144.60

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Solution

The fourth proportional to 194,293.40, 291,353.70 and 89,144.60 is: 133,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,293.40 : 291,353.70 = 89,144.60 : x
  2. Step 2: Convert to fraction form
    194,293.40/291,353.70 = 89,144.60/x
  3. Step 3: Cross multiply
    194,293.40x = 291,353.70 × 89,144.60
  4. Step 4: Simplify right side
    194,293.40x = 25,972,609,045.02
  5. Step 5: Solve for x
    x = 25,972,609,045.02/194,293.40
  6. Step 6: Final answer
    x = 133,677.26

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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.