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Finding the Fourth Proportional to 194,459.84, 291,592.56 and 89,189

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Solution

The fourth proportional to 194,459.84, 291,592.56 and 89,189 is: 133,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,459.84 : 291,592.56 = 89,189 : x
  2. Step 2: Convert to fraction form
    194,459.84/291,592.56 = 89,189/x
  3. Step 3: Cross multiply
    194,459.84x = 291,592.56 × 89,189
  4. Step 4: Simplify right side
    194,459.84x = 26,006,848,833.84
  5. Step 5: Solve for x
    x = 26,006,848,833.84/194,459.84
  6. Step 6: Final answer
    x = 133,738.92

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Why These Related Problems?

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