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Finding the Fourth Proportional to 188,008.16, 281,946.54 and 75,659.22

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Solution

The fourth proportional to 188,008.16, 281,946.54 and 75,659.22 is: 113,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,008.16 : 281,946.54 = 75,659.22 : x
  2. Step 2: Convert to fraction form
    188,008.16/281,946.54 = 75,659.22/x
  3. Step 3: Cross multiply
    188,008.16x = 281,946.54 × 75,659.22
  4. Step 4: Simplify right side
    188,008.16x = 21,331,855,298.10
  5. Step 5: Solve for x
    x = 21,331,855,298.10/188,008.16
  6. Step 6: Final answer
    x = 113,462.39

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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.