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Finding the Fourth Proportional to 126,315.12, 189,308.64 and 51,348

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Solution

The fourth proportional to 126,315.12, 189,308.64 and 51,348 is: 76,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,315.12 : 189,308.64 = 51,348 : x
  2. Step 2: Convert to fraction form
    126,315.12/189,308.64 = 51,348/x
  3. Step 3: Cross multiply
    126,315.12x = 189,308.64 × 51,348
  4. Step 4: Simplify right side
    126,315.12x = 9,720,620,046.72
  5. Step 5: Solve for x
    x = 9,720,620,046.72/126,315.12
  6. Step 6: Final answer
    x = 76,955.32

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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.