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Finding the Fourth Proportional to 174,722.32, 241,100.13 and 102,142.20

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Solution

The fourth proportional to 174,722.32, 241,100.13 and 102,142.20 is: 140,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,722.32 : 241,100.13 = 102,142.20 : x
  2. Step 2: Convert to fraction form
    174,722.32/241,100.13 = 102,142.20/x
  3. Step 3: Cross multiply
    174,722.32x = 241,100.13 × 102,142.20
  4. Step 4: Simplify right side
    174,722.32x = 24,626,497,698.49
  5. Step 5: Solve for x
    x = 24,626,497,698.49/174,722.32
  6. Step 6: Final answer
    x = 140,946.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.