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Finding the Fourth Proportional to 206,533.10, 310,030.05 and 192,997.10

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Solution

The fourth proportional to 206,533.10, 310,030.05 and 192,997.10 is: 289,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,533.10 : 310,030.05 = 192,997.10 : x
  2. Step 2: Convert to fraction form
    206,533.10/310,030.05 = 192,997.10/x
  3. Step 3: Cross multiply
    206,533.10x = 310,030.05 × 192,997.10
  4. Step 4: Simplify right side
    206,533.10x = 59,834,900,562.86
  5. Step 5: Solve for x
    x = 59,834,900,562.86/206,533.10
  6. Step 6: Final answer
    x = 289,710.95

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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.