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Finding the Fourth Proportional to 126,031.20, 189,046.80 and 102,703.20

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Solution

The fourth proportional to 126,031.20, 189,046.80 and 102,703.20 is: 154,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,031.20 : 189,046.80 = 102,703.20 : x
  2. Step 2: Convert to fraction form
    126,031.20/189,046.80 = 102,703.20/x
  3. Step 3: Cross multiply
    126,031.20x = 189,046.80 × 102,703.20
  4. Step 4: Simplify right side
    126,031.20x = 19,415,711,309.76
  5. Step 5: Solve for x
    x = 19,415,711,309.76/126,031.20
  6. Step 6: Final answer
    x = 154,054.80

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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.