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Finding the Fourth Proportional to 137,554.50, 189,828.09 and 77,938.50

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Solution

The fourth proportional to 137,554.50, 189,828.09 and 77,938.50 is: 107,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,554.50 : 189,828.09 = 77,938.50 : x
  2. Step 2: Convert to fraction form
    137,554.50/189,828.09 = 77,938.50/x
  3. Step 3: Cross multiply
    137,554.50x = 189,828.09 × 77,938.50
  4. Step 4: Simplify right side
    137,554.50x = 14,794,916,592.47
  5. Step 5: Solve for x
    x = 14,794,916,592.47/137,554.50
  6. Step 6: Final answer
    x = 107,556.76

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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.