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Finding the Fourth Proportional to 177,857.40, 266,761.80 and 53,198.40

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Solution

The fourth proportional to 177,857.40, 266,761.80 and 53,198.40 is: 79,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,857.40 : 266,761.80 = 53,198.40 : x
  2. Step 2: Convert to fraction form
    177,857.40/266,761.80 = 53,198.40/x
  3. Step 3: Cross multiply
    177,857.40x = 266,761.80 × 53,198.40
  4. Step 4: Simplify right side
    177,857.40x = 14,191,300,941.12
  5. Step 5: Solve for x
    x = 14,191,300,941.12/177,857.40
  6. Step 6: Final answer
    x = 79,790.33

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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.