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Finding the Fourth Proportional to 123,777.02, 170,816.11 and 72,780.54

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Solution

The fourth proportional to 123,777.02, 170,816.11 and 72,780.54 is: 100,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,777.02 : 170,816.11 = 72,780.54 : x
  2. Step 2: Convert to fraction form
    123,777.02/170,816.11 = 72,780.54/x
  3. Step 3: Cross multiply
    123,777.02x = 170,816.11 × 72,780.54
  4. Step 4: Simplify right side
    123,777.02x = 12,432,088,726.50
  5. Step 5: Solve for x
    x = 12,432,088,726.50/123,777.02
  6. Step 6: Final answer
    x = 100,439.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.