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Finding the Fourth Proportional to 137,913.98, 190,340.46 and 77,489.28

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Solution

The fourth proportional to 137,913.98, 190,340.46 and 77,489.28 is: 106,945.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,913.98 : 190,340.46 = 77,489.28 : x
  2. Step 2: Convert to fraction form
    137,913.98/190,340.46 = 77,489.28/x
  3. Step 3: Cross multiply
    137,913.98x = 190,340.46 × 77,489.28
  4. Step 4: Simplify right side
    137,913.98x = 14,749,345,200.27
  5. Step 5: Solve for x
    x = 14,749,345,200.27/137,913.98
  6. Step 6: Final answer
    x = 106,945.98

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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.