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Finding the Fourth Proportional to 170,424, 255,587.04 and 52,067.52

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Solution

The fourth proportional to 170,424, 255,587.04 and 52,067.52 is: 78,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,424 : 255,587.04 = 52,067.52 : x
  2. Step 2: Convert to fraction form
    170,424/255,587.04 = 52,067.52/x
  3. Step 3: Cross multiply
    170,424x = 255,587.04 × 52,067.52
  4. Step 4: Simplify right side
    170,424x = 13,307,783,316.94
  5. Step 5: Solve for x
    x = 13,307,783,316.94/170,424
  6. Step 6: Final answer
    x = 78,086.32

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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.