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Finding the Fourth Proportional to 137,253.69, 189,418.50 and 76,828.10

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Solution

The fourth proportional to 137,253.69, 189,418.50 and 76,828.10 is: 106,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,253.69 : 189,418.50 = 76,828.10 : x
  2. Step 2: Convert to fraction form
    137,253.69/189,418.50 = 76,828.10/x
  3. Step 3: Cross multiply
    137,253.69x = 189,418.50 × 76,828.10
  4. Step 4: Simplify right side
    137,253.69x = 14,552,662,512.76
  5. Step 5: Solve for x
    x = 14,552,662,512.76/137,253.69
  6. Step 6: Final answer
    x = 106,027.48

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