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Finding the Fourth Proportional to 119,281.20, 164,584.80 and 76,833.60

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Solution

The fourth proportional to 119,281.20, 164,584.80 and 76,833.60 is: 106,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,281.20 : 164,584.80 = 76,833.60 : x
  2. Step 2: Convert to fraction form
    119,281.20/164,584.80 = 76,833.60/x
  3. Step 3: Cross multiply
    119,281.20x = 164,584.80 × 76,833.60
  4. Step 4: Simplify right side
    119,281.20x = 12,645,642,689.28
  5. Step 5: Solve for x
    x = 12,645,642,689.28/119,281.20
  6. Step 6: Final answer
    x = 106,015.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.