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Finding the Fourth Proportional to 151,726.56, 227,420.28 and 56,865.48

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Solution

The fourth proportional to 151,726.56, 227,420.28 and 56,865.48 is: 85,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,726.56 : 227,420.28 = 56,865.48 : x
  2. Step 2: Convert to fraction form
    151,726.56/227,420.28 = 56,865.48/x
  3. Step 3: Cross multiply
    151,726.56x = 227,420.28 × 56,865.48
  4. Step 4: Simplify right side
    151,726.56x = 12,932,363,383.93
  5. Step 5: Solve for x
    x = 12,932,363,383.93/151,726.56
  6. Step 6: Final answer
    x = 85,234.67

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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.