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Finding the Fourth Proportional to 162,694.39, 224,946.66 and 142,493.34

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Solution

The fourth proportional to 162,694.39, 224,946.66 and 142,493.34 is: 197,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,694.39 : 224,946.66 = 142,493.34 : x
  2. Step 2: Convert to fraction form
    162,694.39/224,946.66 = 142,493.34/x
  3. Step 3: Cross multiply
    162,694.39x = 224,946.66 × 142,493.34
  4. Step 4: Simplify right side
    162,694.39x = 32,053,400,905.24
  5. Step 5: Solve for x
    x = 32,053,400,905.24/162,694.39
  6. Step 6: Final answer
    x = 197,016.02

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Why These Related Problems?

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