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Finding the Fourth Proportional to 212,543.52, 293,310.08 and 117,049.38

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Solution

The fourth proportional to 212,543.52, 293,310.08 and 117,049.38 is: 161,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,543.52 : 293,310.08 = 117,049.38 : x
  2. Step 2: Convert to fraction form
    212,543.52/293,310.08 = 117,049.38/x
  3. Step 3: Cross multiply
    212,543.52x = 293,310.08 × 117,049.38
  4. Step 4: Simplify right side
    212,543.52x = 34,331,763,011.75
  5. Step 5: Solve for x
    x = 34,331,763,011.75/212,543.52
  6. Step 6: Final answer
    x = 161,528.16

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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.