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Finding the Fourth Proportional to 188,308.51, 282,471.30 and 53,382.23

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Solution

The fourth proportional to 188,308.51, 282,471.30 and 53,382.23 is: 80,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,308.51 : 282,471.30 = 53,382.23 : x
  2. Step 2: Convert to fraction form
    188,308.51/282,471.30 = 53,382.23/x
  3. Step 3: Cross multiply
    188,308.51x = 282,471.30 × 53,382.23
  4. Step 4: Simplify right side
    188,308.51x = 15,078,947,551.91
  5. Step 5: Solve for x
    x = 15,078,947,551.91/188,308.51
  6. Step 6: Final answer
    x = 80,075.76

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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.