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Finding the Fourth Proportional to 201,516.38, 278,061.54 and 116,617.04

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Solution

The fourth proportional to 201,516.38, 278,061.54 and 116,617.04 is: 160,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,516.38 : 278,061.54 = 116,617.04 : x
  2. Step 2: Convert to fraction form
    201,516.38/278,061.54 = 116,617.04/x
  3. Step 3: Cross multiply
    201,516.38x = 278,061.54 × 116,617.04
  4. Step 4: Simplify right side
    201,516.38x = 32,426,713,732.64
  5. Step 5: Solve for x
    x = 32,426,713,732.64/201,516.38
  6. Step 6: Final answer
    x = 160,913.54

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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.