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Finding the Fourth Proportional to 201,270.24, 277,731.72 and 116,414.64

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Solution

The fourth proportional to 201,270.24, 277,731.72 and 116,414.64 is: 160,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,270.24 : 277,731.72 = 116,414.64 : x
  2. Step 2: Convert to fraction form
    201,270.24/277,731.72 = 116,414.64/x
  3. Step 3: Cross multiply
    201,270.24x = 277,731.72 × 116,414.64
  4. Step 4: Simplify right side
    201,270.24x = 32,332,038,200.38
  5. Step 5: Solve for x
    x = 32,332,038,200.38/201,270.24
  6. Step 6: Final answer
    x = 160,639.93

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Why These Related Problems?

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