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Finding the Fourth Proportional to 261,485.22, 361,022.18 and 200,945.82

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Solution

The fourth proportional to 261,485.22, 361,022.18 and 200,945.82 is: 277,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,485.22 : 361,022.18 = 200,945.82 : x
  2. Step 2: Convert to fraction form
    261,485.22/361,022.18 = 200,945.82/x
  3. Step 3: Cross multiply
    261,485.22x = 361,022.18 × 200,945.82
  4. Step 4: Simplify right side
    261,485.22x = 72,545,897,598.10
  5. Step 5: Solve for x
    x = 72,545,897,598.10/261,485.22
  6. Step 6: Final answer
    x = 277,437.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.