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Finding the Fourth Proportional to 357,892.30, 536,755.41 and 158,103.70

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Solution

The fourth proportional to 357,892.30, 536,755.41 and 158,103.70 is: 237,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,892.30 : 536,755.41 = 158,103.70 : x
  2. Step 2: Convert to fraction form
    357,892.30/536,755.41 = 158,103.70/x
  3. Step 3: Cross multiply
    357,892.30x = 536,755.41 × 158,103.70
  4. Step 4: Simplify right side
    357,892.30x = 84,863,014,974.13
  5. Step 5: Solve for x
    x = 84,863,014,974.13/357,892.30
  6. Step 6: Final answer
    x = 237,118.86

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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.