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Finding the Fourth Proportional to 212,472.95, 293,207.36 and 120,609.38

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Solution

The fourth proportional to 212,472.95, 293,207.36 and 120,609.38 is: 166,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,472.95 : 293,207.36 = 120,609.38 : x
  2. Step 2: Convert to fraction form
    212,472.95/293,207.36 = 120,609.38/x
  3. Step 3: Cross multiply
    212,472.95x = 293,207.36 × 120,609.38
  4. Step 4: Simplify right side
    212,472.95x = 35,363,558,031.01
  5. Step 5: Solve for x
    x = 35,363,558,031.01/212,472.95
  6. Step 6: Final answer
    x = 166,437.93

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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.