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Finding the Fourth Proportional to 234,635.78, 351,946.78 and 57,140.21

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Solution

The fourth proportional to 234,635.78, 351,946.78 and 57,140.21 is: 85,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,635.78 : 351,946.78 = 57,140.21 : x
  2. Step 2: Convert to fraction form
    234,635.78/351,946.78 = 57,140.21/x
  3. Step 3: Cross multiply
    234,635.78x = 351,946.78 × 57,140.21
  4. Step 4: Simplify right side
    234,635.78x = 20,110,312,918.02
  5. Step 5: Solve for x
    x = 20,110,312,918.02/234,635.78
  6. Step 6: Final answer
    x = 85,708.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.