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Finding the Fourth Proportional to 227,557.76, 341,224.31 and 69,748.16

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Solution

The fourth proportional to 227,557.76, 341,224.31 and 69,748.16 is: 104,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,557.76 : 341,224.31 = 69,748.16 : x
  2. Step 2: Convert to fraction form
    227,557.76/341,224.31 = 69,748.16/x
  3. Step 3: Cross multiply
    227,557.76x = 341,224.31 × 69,748.16
  4. Step 4: Simplify right side
    227,557.76x = 23,799,766,238.02
  5. Step 5: Solve for x
    x = 23,799,766,238.02/227,557.76
  6. Step 6: Final answer
    x = 104,587.81

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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.