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Finding the Fourth Proportional to 107,076.12, 147,761.06 and 61,756

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Solution

The fourth proportional to 107,076.12, 147,761.06 and 61,756 is: 85,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,076.12 : 147,761.06 = 61,756 : x
  2. Step 2: Convert to fraction form
    107,076.12/147,761.06 = 61,756/x
  3. Step 3: Cross multiply
    107,076.12x = 147,761.06 × 61,756
  4. Step 4: Simplify right side
    107,076.12x = 9,125,132,021.36
  5. Step 5: Solve for x
    x = 9,125,132,021.36/107,076.12
  6. Step 6: Final answer
    x = 85,220.98

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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.