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Finding the Fourth Proportional to 162,342.06, 224,031.65 and 90,722.09

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Solution

The fourth proportional to 162,342.06, 224,031.65 and 90,722.09 is: 125,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,342.06 : 224,031.65 = 90,722.09 : x
  2. Step 2: Convert to fraction form
    162,342.06/224,031.65 = 90,722.09/x
  3. Step 3: Cross multiply
    162,342.06x = 224,031.65 × 90,722.09
  4. Step 4: Simplify right side
    162,342.06x = 20,324,617,940.38
  5. Step 5: Solve for x
    x = 20,324,617,940.38/162,342.06
  6. Step 6: Final answer
    x = 125,196.25

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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.