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Finding the Fourth Proportional to 167,639.76, 251,368.92 and 83,214.54

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Solution

The fourth proportional to 167,639.76, 251,368.92 and 83,214.54 is: 124,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,639.76 : 251,368.92 = 83,214.54 : x
  2. Step 2: Convert to fraction form
    167,639.76/251,368.92 = 83,214.54/x
  3. Step 3: Cross multiply
    167,639.76x = 251,368.92 × 83,214.54
  4. Step 4: Simplify right side
    167,639.76x = 20,917,549,048.10
  5. Step 5: Solve for x
    x = 20,917,549,048.10/167,639.76
  6. Step 6: Final answer
    x = 124,776.78

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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.