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Finding the Fourth Proportional to 101,301, 151,953.46 and 31,180.26

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Solution

The fourth proportional to 101,301, 151,953.46 and 31,180.26 is: 46,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,301 : 151,953.46 = 31,180.26 : x
  2. Step 2: Convert to fraction form
    101,301/151,953.46 = 31,180.26/x
  3. Step 3: Cross multiply
    101,301x = 151,953.46 × 31,180.26
  4. Step 4: Simplify right side
    101,301x = 4,737,948,390.70
  5. Step 5: Solve for x
    x = 4,737,948,390.70/101,301
  6. Step 6: Final answer
    x = 46,770.99

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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.