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Finding the Fourth Proportional to 194,457.84, 291,589.56 and 89,187

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Solution

The fourth proportional to 194,457.84, 291,589.56 and 89,187 is: 133,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,457.84 : 291,589.56 = 89,187 : x
  2. Step 2: Convert to fraction form
    194,457.84/291,589.56 = 89,187/x
  3. Step 3: Cross multiply
    194,457.84x = 291,589.56 × 89,187
  4. Step 4: Simplify right side
    194,457.84x = 26,005,998,087.72
  5. Step 5: Solve for x
    x = 26,005,998,087.72/194,457.84
  6. Step 6: Final answer
    x = 133,735.92

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1.5x scale

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.