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Finding the Fourth Proportional to 301,663.32, 451,806.07 and 144,002.49

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Solution

The fourth proportional to 301,663.32, 451,806.07 and 144,002.49 is: 215,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,663.32 : 451,806.07 = 144,002.49 : x
  2. Step 2: Convert to fraction form
    301,663.32/451,806.07 = 144,002.49/x
  3. Step 3: Cross multiply
    301,663.32x = 451,806.07 × 144,002.49
  4. Step 4: Simplify right side
    301,663.32x = 65,061,199,077.11
  5. Step 5: Solve for x
    x = 65,061,199,077.11/301,663.32
  6. Step 6: Final answer
    x = 215,674.88

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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.