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Finding the Fourth Proportional to 485,195.80, 727,664.10 and 148,235.80

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Solution

The fourth proportional to 485,195.80, 727,664.10 and 148,235.80 is: 222,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,195.80 : 727,664.10 = 148,235.80 : x
  2. Step 2: Convert to fraction form
    485,195.80/727,664.10 = 148,235.80/x
  3. Step 3: Cross multiply
    485,195.80x = 727,664.10 × 148,235.80
  4. Step 4: Simplify right side
    485,195.80x = 107,865,869,994.78
  5. Step 5: Solve for x
    x = 107,865,869,994.78/485,195.80
  6. Step 6: Final answer
    x = 222,314.10

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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.