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Finding the Fourth Proportional to 194,954.65, 292,442.30 and 54,724.21

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Solution

The fourth proportional to 194,954.65, 292,442.30 and 54,724.21 is: 82,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,954.65 : 292,442.30 = 54,724.21 : x
  2. Step 2: Convert to fraction form
    194,954.65/292,442.30 = 54,724.21/x
  3. Step 3: Cross multiply
    194,954.65x = 292,442.30 × 54,724.21
  4. Step 4: Simplify right side
    194,954.65x = 16,003,673,038.57
  5. Step 5: Solve for x
    x = 16,003,673,038.57/194,954.65
  6. Step 6: Final answer
    x = 82,089.21

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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.