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Finding the Fourth Proportional to 212,972.76, 293,905.26 and 117,479.16

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Solution

The fourth proportional to 212,972.76, 293,905.26 and 117,479.16 is: 162,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,972.76 : 293,905.26 = 117,479.16 : x
  2. Step 2: Convert to fraction form
    212,972.76/293,905.26 = 117,479.16/x
  3. Step 3: Cross multiply
    212,972.76x = 293,905.26 × 117,479.16
  4. Step 4: Simplify right side
    212,972.76x = 34,527,743,064.38
  5. Step 5: Solve for x
    x = 34,527,743,064.38/212,972.76
  6. Step 6: Final answer
    x = 162,122.81

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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.