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Finding the Fourth Proportional to 205,902.40, 308,853.60 and 142,916.80

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Solution

The fourth proportional to 205,902.40, 308,853.60 and 142,916.80 is: 214,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,902.40 : 308,853.60 = 142,916.80 : x
  2. Step 2: Convert to fraction form
    205,902.40/308,853.60 = 142,916.80/x
  3. Step 3: Cross multiply
    205,902.40x = 308,853.60 × 142,916.80
  4. Step 4: Simplify right side
    205,902.40x = 44,140,368,180.48
  5. Step 5: Solve for x
    x = 44,140,368,180.48/205,902.40
  6. Step 6: Final answer
    x = 214,375.20

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1.5x scale

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.