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Finding the Fourth Proportional to 118,505.64, 177,830.14 and 51,949.56

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Solution

The fourth proportional to 118,505.64, 177,830.14 and 51,949.56 is: 77,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,505.64 : 177,830.14 = 51,949.56 : x
  2. Step 2: Convert to fraction form
    118,505.64/177,830.14 = 51,949.56/x
  3. Step 3: Cross multiply
    118,505.64x = 177,830.14 × 51,949.56
  4. Step 4: Simplify right side
    118,505.64x = 9,238,197,527.74
  5. Step 5: Solve for x
    x = 9,238,197,527.74/118,505.64
  6. Step 6: Final answer
    x = 77,955.76

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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.