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Finding the Fourth Proportional to 177,191.80, 265,787.70 and 142,199.80

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Solution

The fourth proportional to 177,191.80, 265,787.70 and 142,199.80 is: 213,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,191.80 : 265,787.70 = 142,199.80 : x
  2. Step 2: Convert to fraction form
    177,191.80/265,787.70 = 142,199.80/x
  3. Step 3: Cross multiply
    177,191.80x = 265,787.70 × 142,199.80
  4. Step 4: Simplify right side
    177,191.80x = 37,794,957,782.46
  5. Step 5: Solve for x
    x = 37,794,957,782.46/177,191.80
  6. Step 6: Final answer
    x = 213,299.70

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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.