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Finding the Fourth Proportional to 177,384.80, 266,077.20 and 142,392.80

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Solution

The fourth proportional to 177,384.80, 266,077.20 and 142,392.80 is: 213,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,384.80 : 266,077.20 = 142,392.80 : x
  2. Step 2: Convert to fraction form
    177,384.80/266,077.20 = 142,392.80/x
  3. Step 3: Cross multiply
    177,384.80x = 266,077.20 × 142,392.80
  4. Step 4: Simplify right side
    177,384.80x = 37,887,477,524.16
  5. Step 5: Solve for x
    x = 37,887,477,524.16/177,384.80
  6. Step 6: Final answer
    x = 213,589.20

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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.