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Finding the Fourth Proportional to 126,097.40, 189,024.60 and 72,734.60

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Solution

The fourth proportional to 126,097.40, 189,024.60 and 72,734.60 is: 109,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,097.40 : 189,024.60 = 72,734.60 : x
  2. Step 2: Convert to fraction form
    126,097.40/189,024.60 = 72,734.60/x
  3. Step 3: Cross multiply
    126,097.40x = 189,024.60 × 72,734.60
  4. Step 4: Simplify right side
    126,097.40x = 13,748,628,671.16
  5. Step 5: Solve for x
    x = 13,748,628,671.16/126,097.40
  6. Step 6: Final answer
    x = 109,031.82

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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.