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Finding the Fourth Proportional to 194,330.46, 290,837.31 and 119,498.00

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Solution

The fourth proportional to 194,330.46, 290,837.31 and 119,498.00 is: 178,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,330.46 : 290,837.31 = 119,498.00 : x
  2. Step 2: Convert to fraction form
    194,330.46/290,837.31 = 119,498.00/x
  3. Step 3: Cross multiply
    194,330.46x = 290,837.31 × 119,498.00
  4. Step 4: Simplify right side
    194,330.46x = 34,754,476,058.72
  5. Step 5: Solve for x
    x = 34,754,476,058.72/194,330.46
  6. Step 6: Final answer
    x = 178,842.15

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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.