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Finding the Fourth Proportional to 101,301.80, 151,952.70 and 31,202.60

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Solution

The fourth proportional to 101,301.80, 151,952.70 and 31,202.60 is: 46,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,301.80 : 151,952.70 = 31,202.60 : x
  2. Step 2: Convert to fraction form
    101,301.80/151,952.70 = 31,202.60/x
  3. Step 3: Cross multiply
    101,301.80x = 151,952.70 × 31,202.60
  4. Step 4: Simplify right side
    101,301.80x = 4,741,319,317.02
  5. Step 5: Solve for x
    x = 4,741,319,317.02/101,301.80
  6. Step 6: Final answer
    x = 46,803.90

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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.