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Finding the Fourth Proportional to 165,714.60, 248,571.90 and 47,389.80

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Solution

The fourth proportional to 165,714.60, 248,571.90 and 47,389.80 is: 71,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,714.60 : 248,571.90 = 47,389.80 : x
  2. Step 2: Convert to fraction form
    165,714.60/248,571.90 = 47,389.80/x
  3. Step 3: Cross multiply
    165,714.60x = 248,571.90 × 47,389.80
  4. Step 4: Simplify right side
    165,714.60x = 11,779,772,626.62
  5. Step 5: Solve for x
    x = 11,779,772,626.62/165,714.60
  6. Step 6: Final answer
    x = 71,084.70

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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.