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Finding the Fourth Proportional to 201,269.74, 277,731.03 and 116,414.14

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Solution

The fourth proportional to 201,269.74, 277,731.03 and 116,414.14 is: 160,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,269.74 : 277,731.03 = 116,414.14 : x
  2. Step 2: Convert to fraction form
    201,269.74/277,731.03 = 116,414.14/x
  3. Step 3: Cross multiply
    201,269.74x = 277,731.03 × 116,414.14
  4. Step 4: Simplify right side
    201,269.74x = 32,331,819,008.76
  5. Step 5: Solve for x
    x = 32,331,819,008.76/201,269.74
  6. Step 6: Final answer
    x = 160,639.24

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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.