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Finding the Fourth Proportional to 76,428.40, 114,383.40 and 67,097.20

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Solution

The fourth proportional to 76,428.40, 114,383.40 and 67,097.20 is: 100,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428.40 : 114,383.40 = 67,097.20 : x
  2. Step 2: Convert to fraction form
    76,428.40/114,383.40 = 67,097.20/x
  3. Step 3: Cross multiply
    76,428.40x = 114,383.40 × 67,097.20
  4. Step 4: Simplify right side
    76,428.40x = 7,674,805,866.48
  5. Step 5: Solve for x
    x = 7,674,805,866.48/76,428.40
  6. Step 6: Final answer
    x = 100,418.25

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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.