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Finding the Fourth Proportional to 112,566, 168,907.32 and 57,162

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Solution

The fourth proportional to 112,566, 168,907.32 and 57,162 is: 85,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,566 : 168,907.32 = 57,162 : x
  2. Step 2: Convert to fraction form
    112,566/168,907.32 = 57,162/x
  3. Step 3: Cross multiply
    112,566x = 168,907.32 × 57,162
  4. Step 4: Simplify right side
    112,566x = 9,655,080,225.84
  5. Step 5: Solve for x
    x = 9,655,080,225.84/112,566
  6. Step 6: Final answer
    x = 85,772.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.