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Finding the Fourth Proportional to 164,778.60, 227,223.30 and 140,984.04

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Solution

The fourth proportional to 164,778.60, 227,223.30 and 140,984.04 is: 194,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,778.60 : 227,223.30 = 140,984.04 : x
  2. Step 2: Convert to fraction form
    164,778.60/227,223.30 = 140,984.04/x
  3. Step 3: Cross multiply
    164,778.60x = 227,223.30 × 140,984.04
  4. Step 4: Simplify right side
    164,778.60x = 32,034,858,816.13
  5. Step 5: Solve for x
    x = 32,034,858,816.13/164,778.60
  6. Step 6: Final answer
    x = 194,411.52

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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.