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Finding the Fourth Proportional to 170,588.64, 255,929.28 and 52,257.36

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Solution

The fourth proportional to 170,588.64, 255,929.28 and 52,257.36 is: 78,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,588.64 : 255,929.28 = 52,257.36 : x
  2. Step 2: Convert to fraction form
    170,588.64/255,929.28 = 52,257.36/x
  3. Step 3: Cross multiply
    170,588.64x = 255,929.28 × 52,257.36
  4. Step 4: Simplify right side
    170,588.64x = 13,374,188,519.50
  5. Step 5: Solve for x
    x = 13,374,188,519.50/170,588.64
  6. Step 6: Final answer
    x = 78,400.23

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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.