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Finding the Fourth Proportional to 172,497.44, 238,033.32 and 97,031.36

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Solution

The fourth proportional to 172,497.44, 238,033.32 and 97,031.36 is: 133,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,497.44 : 238,033.32 = 97,031.36 : x
  2. Step 2: Convert to fraction form
    172,497.44/238,033.32 = 97,031.36/x
  3. Step 3: Cross multiply
    172,497.44x = 238,033.32 × 97,031.36
  4. Step 4: Simplify right side
    172,497.44x = 23,096,696,764.92
  5. Step 5: Solve for x
    x = 23,096,696,764.92/172,497.44
  6. Step 6: Final answer
    x = 133,895.88

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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.