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Finding the Fourth Proportional to 194,329.52, 290,835.90 and 119,497.06

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Solution

The fourth proportional to 194,329.52, 290,835.90 and 119,497.06 is: 178,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,329.52 : 290,835.90 = 119,497.06 : x
  2. Step 2: Convert to fraction form
    194,329.52/290,835.90 = 119,497.06/x
  3. Step 3: Cross multiply
    194,329.52x = 290,835.90 × 119,497.06
  4. Step 4: Simplify right side
    194,329.52x = 34,754,035,356.00
  5. Step 5: Solve for x
    x = 34,754,035,356.00/194,329.52
  6. Step 6: Final answer
    x = 178,840.74

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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.