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Finding the Fourth Proportional to 301,081.64, 451,623.24 and 101,542.18

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Solution

The fourth proportional to 301,081.64, 451,623.24 and 101,542.18 is: 152,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,081.64 : 451,623.24 = 101,542.18 : x
  2. Step 2: Convert to fraction form
    301,081.64/451,623.24 = 101,542.18/x
  3. Step 3: Cross multiply
    301,081.64x = 451,623.24 × 101,542.18
  4. Step 4: Simplify right side
    301,081.64x = 45,858,808,328.26
  5. Step 5: Solve for x
    x = 45,858,808,328.26/301,081.64
  6. Step 6: Final answer
    x = 152,313.53

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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.