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Finding the Fourth Proportional to 188,514.24, 282,810.24 and 63,852

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Solution

The fourth proportional to 188,514.24, 282,810.24 and 63,852 is: 95,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,514.24 : 282,810.24 = 63,852 : x
  2. Step 2: Convert to fraction form
    188,514.24/282,810.24 = 63,852/x
  3. Step 3: Cross multiply
    188,514.24x = 282,810.24 × 63,852
  4. Step 4: Simplify right side
    188,514.24x = 18,057,999,444.48
  5. Step 5: Solve for x
    x = 18,057,999,444.48/188,514.24
  6. Step 6: Final answer
    x = 95,791.17

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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.