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Finding the Fourth Proportional to 133,039.80, 199,559.70 and 77,743.80

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Solution

The fourth proportional to 133,039.80, 199,559.70 and 77,743.80 is: 116,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,039.80 : 199,559.70 = 77,743.80 : x
  2. Step 2: Convert to fraction form
    133,039.80/199,559.70 = 77,743.80/x
  3. Step 3: Cross multiply
    133,039.80x = 199,559.70 × 77,743.80
  4. Step 4: Simplify right side
    133,039.80x = 15,514,529,404.86
  5. Step 5: Solve for x
    x = 15,514,529,404.86/133,039.80
  6. Step 6: Final answer
    x = 116,615.70

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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.