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Finding the Fourth Proportional to 153,846.92, 212,250.30 and 100,177.94

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Solution

The fourth proportional to 153,846.92, 212,250.30 and 100,177.94 is: 138,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846.92 : 212,250.30 = 100,177.94 : x
  2. Step 2: Convert to fraction form
    153,846.92/212,250.30 = 100,177.94/x
  3. Step 3: Cross multiply
    153,846.92x = 212,250.30 × 100,177.94
  4. Step 4: Simplify right side
    153,846.92x = 21,262,797,818.38
  5. Step 5: Solve for x
    x = 21,262,797,818.38/153,846.92
  6. Step 6: Final answer
    x = 138,207.50

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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.