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Finding the Fourth Proportional to 282,382.83, 423,480.29 and 113,859.63

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Solution

The fourth proportional to 282,382.83, 423,480.29 and 113,859.63 is: 170,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,382.83 : 423,480.29 = 113,859.63 : x
  2. Step 2: Convert to fraction form
    282,382.83/423,480.29 = 113,859.63/x
  3. Step 3: Cross multiply
    282,382.83x = 423,480.29 × 113,859.63
  4. Step 4: Simplify right side
    282,382.83x = 48,217,308,562.39
  5. Step 5: Solve for x
    x = 48,217,308,562.39/282,382.83
  6. Step 6: Final answer
    x = 170,751.56

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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.