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Finding the Fourth Proportional to 492,091.90, 738,167.02 and 155,143.24

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Solution

The fourth proportional to 492,091.90, 738,167.02 and 155,143.24 is: 232,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,091.90 : 738,167.02 = 155,143.24 : x
  2. Step 2: Convert to fraction form
    492,091.90/738,167.02 = 155,143.24/x
  3. Step 3: Cross multiply
    492,091.90x = 738,167.02 × 155,143.24
  4. Step 4: Simplify right side
    492,091.90x = 114,521,623,143.95
  5. Step 5: Solve for x
    x = 114,521,623,143.95/492,091.90
  6. Step 6: Final answer
    x = 232,724.06

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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.