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Finding the Fourth Proportional to 194,388, 291,600 and 89,191.68

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Solution

The fourth proportional to 194,388, 291,600 and 89,191.68 is: 133,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,388 : 291,600 = 89,191.68 : x
  2. Step 2: Convert to fraction form
    194,388/291,600 = 89,191.68/x
  3. Step 3: Cross multiply
    194,388x = 291,600 × 89,191.68
  4. Step 4: Simplify right side
    194,388x = 26,008,293,888.00
  5. Step 5: Solve for x
    x = 26,008,293,888.00/194,388
  6. Step 6: Final answer
    x = 133,795.78

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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.