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Finding the Fourth Proportional to 194,294.67, 291,020.16 and 94,244.58

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Solution

The fourth proportional to 194,294.67, 291,020.16 and 94,244.58 is: 141,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,294.67 : 291,020.16 = 94,244.58 : x
  2. Step 2: Convert to fraction form
    194,294.67/291,020.16 = 94,244.58/x
  3. Step 3: Cross multiply
    194,294.67x = 291,020.16 × 94,244.58
  4. Step 4: Simplify right side
    194,294.67x = 27,427,072,750.73
  5. Step 5: Solve for x
    x = 27,427,072,750.73/194,294.67
  6. Step 6: Final answer
    x = 141,162.25

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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.