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Finding the Fourth Proportional to 224,062.30, 309,194.31 and 139,177.66

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Solution

The fourth proportional to 224,062.30, 309,194.31 and 139,177.66 is: 192,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,062.30 : 309,194.31 = 139,177.66 : x
  2. Step 2: Convert to fraction form
    224,062.30/309,194.31 = 139,177.66/x
  3. Step 3: Cross multiply
    224,062.30x = 309,194.31 × 139,177.66
  4. Step 4: Simplify right side
    224,062.30x = 43,032,940,551.11
  5. Step 5: Solve for x
    x = 43,032,940,551.11/224,062.30
  6. Step 6: Final answer
    x = 192,057.93

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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.