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Finding the Fourth Proportional to 201,397.78, 277,913.19 and 116,498.44

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Solution

The fourth proportional to 201,397.78, 277,913.19 and 116,498.44 is: 160,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397.78 : 277,913.19 = 116,498.44 : x
  2. Step 2: Convert to fraction form
    201,397.78/277,913.19 = 116,498.44/x
  3. Step 3: Cross multiply
    201,397.78x = 277,913.19 × 116,498.44
  4. Step 4: Simplify right side
    201,397.78x = 32,376,453,090.42
  5. Step 5: Solve for x
    x = 32,376,453,090.42/201,397.78
  6. Step 6: Final answer
    x = 160,758.74

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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.