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Finding the Fourth Proportional to 402,165.74, 603,322.77 and 132,309.07

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Solution

The fourth proportional to 402,165.74, 603,322.77 and 132,309.07 is: 198,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,165.74 : 603,322.77 = 132,309.07 : x
  2. Step 2: Convert to fraction form
    402,165.74/603,322.77 = 132,309.07/x
  3. Step 3: Cross multiply
    402,165.74x = 603,322.77 × 132,309.07
  4. Step 4: Simplify right side
    402,165.74x = 79,825,074,608.52
  5. Step 5: Solve for x
    x = 79,825,074,608.52/402,165.74
  6. Step 6: Final answer
    x = 198,488.00

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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.