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Finding the Fourth Proportional to 212,121.96, 292,720.80 and 116,627.90

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Solution

The fourth proportional to 212,121.96, 292,720.80 and 116,627.90 is: 160,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,121.96 : 292,720.80 = 116,627.90 : x
  2. Step 2: Convert to fraction form
    212,121.96/292,720.80 = 116,627.90/x
  3. Step 3: Cross multiply
    212,121.96x = 292,720.80 × 116,627.90
  4. Step 4: Simplify right side
    212,121.96x = 34,139,412,190.32
  5. Step 5: Solve for x
    x = 34,139,412,190.32/212,121.96
  6. Step 6: Final answer
    x = 160,942.38

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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.