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Finding the Fourth Proportional to 126,400.17, 189,553.75 and 51,479.63

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Solution

The fourth proportional to 126,400.17, 189,553.75 and 51,479.63 is: 77,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,400.17 : 189,553.75 = 51,479.63 : x
  2. Step 2: Convert to fraction form
    126,400.17/189,553.75 = 51,479.63/x
  3. Step 3: Cross multiply
    126,400.17x = 189,553.75 × 51,479.63
  4. Step 4: Simplify right side
    126,400.17x = 9,758,155,838.64
  5. Step 5: Solve for x
    x = 9,758,155,838.64/126,400.17
  6. Step 6: Final answer
    x = 77,200.50

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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.