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Finding the Fourth Proportional to 151,930.76, 227,907.23 and 52,090.11

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Solution

The fourth proportional to 151,930.76, 227,907.23 and 52,090.11 is: 78,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,930.76 : 227,907.23 = 52,090.11 : x
  2. Step 2: Convert to fraction form
    151,930.76/227,907.23 = 52,090.11/x
  3. Step 3: Cross multiply
    151,930.76x = 227,907.23 × 52,090.11
  4. Step 4: Simplify right side
    151,930.76x = 11,871,712,680.50
  5. Step 5: Solve for x
    x = 11,871,712,680.50/151,930.76
  6. Step 6: Final answer
    x = 78,138.97

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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.