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Finding the Fourth Proportional to 98,194.94, 135,509.93 and 55,754.38

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Solution

The fourth proportional to 98,194.94, 135,509.93 and 55,754.38 is: 76,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,194.94 : 135,509.93 = 55,754.38 : x
  2. Step 2: Convert to fraction form
    98,194.94/135,509.93 = 55,754.38/x
  3. Step 3: Cross multiply
    98,194.94x = 135,509.93 × 55,754.38
  4. Step 4: Simplify right side
    98,194.94x = 7,555,272,130.99
  5. Step 5: Solve for x
    x = 7,555,272,130.99/98,194.94
  6. Step 6: Final answer
    x = 76,941.56

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Why These Related Problems?

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