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Finding the Fourth Proportional to 121,382.40, 182,008.80 and 51,182.40

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Solution

The fourth proportional to 121,382.40, 182,008.80 and 51,182.40 is: 76,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,382.40 : 182,008.80 = 51,182.40 : x
  2. Step 2: Convert to fraction form
    121,382.40/182,008.80 = 51,182.40/x
  3. Step 3: Cross multiply
    121,382.40x = 182,008.80 × 51,182.40
  4. Step 4: Simplify right side
    121,382.40x = 9,315,647,205.12
  5. Step 5: Solve for x
    x = 9,315,647,205.12/121,382.40
  6. Step 6: Final answer
    x = 76,746.28

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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.