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Finding the Fourth Proportional to 130,097.24, 194,046.63 and 126,159.56

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Solution

The fourth proportional to 130,097.24, 194,046.63 and 126,159.56 is: 188,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,097.24 : 194,046.63 = 126,159.56 : x
  2. Step 2: Convert to fraction form
    130,097.24/194,046.63 = 126,159.56/x
  3. Step 3: Cross multiply
    130,097.24x = 194,046.63 × 126,159.56
  4. Step 4: Simplify right side
    130,097.24x = 24,480,836,829.49
  5. Step 5: Solve for x
    x = 24,480,836,829.49/130,097.24
  6. Step 6: Final answer
    x = 188,173.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.