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Finding the Fourth Proportional to 212,601.75, 293,390.42 and 117,108.15

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Solution

The fourth proportional to 212,601.75, 293,390.42 and 117,108.15 is: 161,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,601.75 : 293,390.42 = 117,108.15 : x
  2. Step 2: Convert to fraction form
    212,601.75/293,390.42 = 117,108.15/x
  3. Step 3: Cross multiply
    212,601.75x = 293,390.42 × 117,108.15
  4. Step 4: Simplify right side
    212,601.75x = 34,358,408,728.38
  5. Step 5: Solve for x
    x = 34,358,408,728.38/212,601.75
  6. Step 6: Final answer
    x = 161,609.25

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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.