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Finding the Fourth Proportional to 183,206.46, 274,796.54 and 56,843.46

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Solution

The fourth proportional to 183,206.46, 274,796.54 and 56,843.46 is: 85,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,206.46 : 274,796.54 = 56,843.46 : x
  2. Step 2: Convert to fraction form
    183,206.46/274,796.54 = 56,843.46/x
  3. Step 3: Cross multiply
    183,206.46x = 274,796.54 × 56,843.46
  4. Step 4: Simplify right side
    183,206.46x = 15,620,386,129.63
  5. Step 5: Solve for x
    x = 15,620,386,129.63/183,206.46
  6. Step 6: Final answer
    x = 85,261.11

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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.