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Finding the Fourth Proportional to 201,518, 278,096.46 and 112,094

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Solution

The fourth proportional to 201,518, 278,096.46 and 112,094 is: 154,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,518 : 278,096.46 = 112,094 : x
  2. Step 2: Convert to fraction form
    201,518/278,096.46 = 112,094/x
  3. Step 3: Cross multiply
    201,518x = 278,096.46 × 112,094
  4. Step 4: Simplify right side
    201,518x = 31,172,944,587.24
  5. Step 5: Solve for x
    x = 31,172,944,587.24/201,518
  6. Step 6: Final answer
    x = 154,690.62

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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.