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Finding the Fourth Proportional to 194,333.98, 290,842.54 and 119,501.52

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Solution

The fourth proportional to 194,333.98, 290,842.54 and 119,501.52 is: 178,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,333.98 : 290,842.54 = 119,501.52 : x
  2. Step 2: Convert to fraction form
    194,333.98/290,842.54 = 119,501.52/x
  3. Step 3: Cross multiply
    194,333.98x = 290,842.54 × 119,501.52
  4. Step 4: Simplify right side
    194,333.98x = 34,756,125,610.66
  5. Step 5: Solve for x
    x = 34,756,125,610.66/194,333.98
  6. Step 6: Final answer
    x = 178,847.39

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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.