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Finding the Fourth Proportional to 188,514.96, 282,769.92 and 46,361.46

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Solution

The fourth proportional to 188,514.96, 282,769.92 and 46,361.46 is: 69,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,514.96 : 282,769.92 = 46,361.46 : x
  2. Step 2: Convert to fraction form
    188,514.96/282,769.92 = 46,361.46/x
  3. Step 3: Cross multiply
    188,514.96x = 282,769.92 × 46,361.46
  4. Step 4: Simplify right side
    188,514.96x = 13,109,626,335.28
  5. Step 5: Solve for x
    x = 13,109,626,335.28/188,514.96
  6. Step 6: Final answer
    x = 69,541.57

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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.