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Finding the Fourth Proportional to 194,333.49, 290,841.80 and 119,501.01

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Solution

The fourth proportional to 194,333.49, 290,841.80 and 119,501.01 is: 178,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,333.49 : 290,841.80 = 119,501.01 : x
  2. Step 2: Convert to fraction form
    194,333.49/290,841.80 = 119,501.01/x
  3. Step 3: Cross multiply
    194,333.49x = 290,841.80 × 119,501.01
  4. Step 4: Simplify right side
    194,333.49x = 34,755,888,252.71
  5. Step 5: Solve for x
    x = 34,755,888,252.71/194,333.49
  6. Step 6: Final answer
    x = 178,846.62

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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.