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Finding the Fourth Proportional to 146,754, 202,523.49 and 89,395.74

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Solution

The fourth proportional to 146,754, 202,523.49 and 89,395.74 is: 123,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,754 : 202,523.49 = 89,395.74 : x
  2. Step 2: Convert to fraction form
    146,754/202,523.49 = 89,395.74/x
  3. Step 3: Cross multiply
    146,754x = 202,523.49 × 89,395.74
  4. Step 4: Simplify right side
    146,754x = 18,104,737,255.93
  5. Step 5: Solve for x
    x = 18,104,737,255.93/146,754
  6. Step 6: Final answer
    x = 123,367.93

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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.