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Finding the Fourth Proportional to 98,196.94, 135,512.69 and 55,756.38

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Solution

The fourth proportional to 98,196.94, 135,512.69 and 55,756.38 is: 76,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,196.94 : 135,512.69 = 55,756.38 : x
  2. Step 2: Convert to fraction form
    98,196.94/135,512.69 = 55,756.38/x
  3. Step 3: Cross multiply
    98,196.94x = 135,512.69 × 55,756.38
  4. Step 4: Simplify right side
    98,196.94x = 7,555,697,038.46
  5. Step 5: Solve for x
    x = 7,555,697,038.46/98,196.94
  6. Step 6: Final answer
    x = 76,944.32

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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.