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Finding the Fourth Proportional to 137,539.99, 205,378.76 and 109,141.24

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Solution

The fourth proportional to 137,539.99, 205,378.76 and 109,141.24 is: 162,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,539.99 : 205,378.76 = 109,141.24 : x
  2. Step 2: Convert to fraction form
    137,539.99/205,378.76 = 109,141.24/x
  3. Step 3: Cross multiply
    137,539.99x = 205,378.76 × 109,141.24
  4. Step 4: Simplify right side
    137,539.99x = 22,415,292,536.06
  5. Step 5: Solve for x
    x = 22,415,292,536.06/137,539.99
  6. Step 6: Final answer
    x = 162,972.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.