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Finding the Fourth Proportional to 299,095.08, 412,836.60 and 170,103.12

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Solution

The fourth proportional to 299,095.08, 412,836.60 and 170,103.12 is: 234,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,095.08 : 412,836.60 = 170,103.12 : x
  2. Step 2: Convert to fraction form
    299,095.08/412,836.60 = 170,103.12/x
  3. Step 3: Cross multiply
    299,095.08x = 412,836.60 × 170,103.12
  4. Step 4: Simplify right side
    299,095.08x = 70,224,793,710.19
  5. Step 5: Solve for x
    x = 70,224,793,710.19/299,095.08
  6. Step 6: Final answer
    x = 234,790.87

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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.