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Finding the Fourth Proportional to 114,115.36, 171,231.36 and 51,777.76

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Solution

The fourth proportional to 114,115.36, 171,231.36 and 51,777.76 is: 77,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,115.36 : 171,231.36 = 51,777.76 : x
  2. Step 2: Convert to fraction form
    114,115.36/171,231.36 = 51,777.76/x
  3. Step 3: Cross multiply
    114,115.36x = 171,231.36 × 51,777.76
  4. Step 4: Simplify right side
    114,115.36x = 8,865,976,262.55
  5. Step 5: Solve for x
    x = 8,865,976,262.55/114,115.36
  6. Step 6: Final answer
    x = 77,693.10

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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.