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Finding the Fourth Proportional to 194,335.50, 290,844.78 and 119,503.02

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Solution

The fourth proportional to 194,335.50, 290,844.78 and 119,503.02 is: 178,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,335.50 : 290,844.78 = 119,503.02 : x
  2. Step 2: Convert to fraction form
    194,335.50/290,844.78 = 119,503.02/x
  3. Step 3: Cross multiply
    194,335.50x = 290,844.78 × 119,503.02
  4. Step 4: Simplify right side
    194,335.50x = 34,756,829,561.24
  5. Step 5: Solve for x
    x = 34,756,829,561.24/194,335.50
  6. Step 6: Final answer
    x = 178,849.62

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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.