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Finding the Fourth Proportional to 126,161.40, 189,238 and 51,259.40

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Solution

The fourth proportional to 126,161.40, 189,238 and 51,259.40 is: 76,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,161.40 : 189,238 = 51,259.40 : x
  2. Step 2: Convert to fraction form
    126,161.40/189,238 = 51,259.40/x
  3. Step 3: Cross multiply
    126,161.40x = 189,238 × 51,259.40
  4. Step 4: Simplify right side
    126,161.40x = 9,700,226,337.20
  5. Step 5: Solve for x
    x = 9,700,226,337.20/126,161.40
  6. Step 6: Final answer
    x = 76,887.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.