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Finding the Fourth Proportional to 174,946.60, 262,031.10 and 143,842.60

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Solution

The fourth proportional to 174,946.60, 262,031.10 and 143,842.60 is: 215,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,946.60 : 262,031.10 = 143,842.60 : x
  2. Step 2: Convert to fraction form
    174,946.60/262,031.10 = 143,842.60/x
  3. Step 3: Cross multiply
    174,946.60x = 262,031.10 × 143,842.60
  4. Step 4: Simplify right side
    174,946.60x = 37,691,234,704.86
  5. Step 5: Solve for x
    x = 37,691,234,704.86/174,946.60
  6. Step 6: Final answer
    x = 215,444.23

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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.