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Finding the Fourth Proportional to 112,522.64, 155,296.68 and 67,802

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Solution

The fourth proportional to 112,522.64, 155,296.68 and 67,802 is: 93,576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,522.64 : 155,296.68 = 67,802 : x
  2. Step 2: Convert to fraction form
    112,522.64/155,296.68 = 67,802/x
  3. Step 3: Cross multiply
    112,522.64x = 155,296.68 × 67,802
  4. Step 4: Simplify right side
    112,522.64x = 10,529,425,497.36
  5. Step 5: Solve for x
    x = 10,529,425,497.36/112,522.64
  6. Step 6: Final answer
    x = 93,576.06

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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.