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Finding the Fourth Proportional to 242,993.80, 364,490.70 and 85,165.30

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Solution

The fourth proportional to 242,993.80, 364,490.70 and 85,165.30 is: 127,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,993.80 : 364,490.70 = 85,165.30 : x
  2. Step 2: Convert to fraction form
    242,993.80/364,490.70 = 85,165.30/x
  3. Step 3: Cross multiply
    242,993.80x = 364,490.70 × 85,165.30
  4. Step 4: Simplify right side
    242,993.80x = 31,041,959,812.71
  5. Step 5: Solve for x
    x = 31,041,959,812.71/242,993.80
  6. Step 6: Final answer
    x = 127,747.95

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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.