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Finding the Fourth Proportional to 261,261.89, 392,027.70 and 111,461.98

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Solution

The fourth proportional to 261,261.89, 392,027.70 and 111,461.98 is: 167,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,261.89 : 392,027.70 = 111,461.98 : x
  2. Step 2: Convert to fraction form
    261,261.89/392,027.70 = 111,461.98/x
  3. Step 3: Cross multiply
    261,261.89x = 392,027.70 × 111,461.98
  4. Step 4: Simplify right side
    261,261.89x = 43,696,183,656.85
  5. Step 5: Solve for x
    x = 43,696,183,656.85/261,261.89
  6. Step 6: Final answer
    x = 167,250.51

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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.