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Finding the Fourth Proportional to 194,329.97, 290,836.54 and 119,497.51

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Solution

The fourth proportional to 194,329.97, 290,836.54 and 119,497.51 is: 178,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,329.97 : 290,836.54 = 119,497.51 : x
  2. Step 2: Convert to fraction form
    194,329.97/290,836.54 = 119,497.51/x
  3. Step 3: Cross multiply
    194,329.97x = 290,836.54 × 119,497.51
  4. Step 4: Simplify right side
    194,329.97x = 34,754,242,347.02
  5. Step 5: Solve for x
    x = 34,754,242,347.02/194,329.97
  6. Step 6: Final answer
    x = 178,841.39

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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.