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Finding the Fourth Proportional to 194,458.84, 291,591.06 and 89,188

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Solution

The fourth proportional to 194,458.84, 291,591.06 and 89,188 is: 133,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,458.84 : 291,591.06 = 89,188 : x
  2. Step 2: Convert to fraction form
    194,458.84/291,591.06 = 89,188/x
  3. Step 3: Cross multiply
    194,458.84x = 291,591.06 × 89,188
  4. Step 4: Simplify right side
    194,458.84x = 26,006,423,459.28
  5. Step 5: Solve for x
    x = 26,006,423,459.28/194,458.84
  6. Step 6: Final answer
    x = 133,737.42

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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.