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Finding the Fourth Proportional to 133,777.95, 200,687.67 and 45,024.53

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Solution

The fourth proportional to 133,777.95, 200,687.67 and 45,024.53 is: 67,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,777.95 : 200,687.67 = 45,024.53 : x
  2. Step 2: Convert to fraction form
    133,777.95/200,687.67 = 45,024.53/x
  3. Step 3: Cross multiply
    133,777.95x = 200,687.67 × 45,024.53
  4. Step 4: Simplify right side
    133,777.95x = 9,035,867,015.11
  5. Step 5: Solve for x
    x = 9,035,867,015.11/133,777.95
  6. Step 6: Final answer
    x = 67,543.77

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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.