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Finding the Fourth Proportional to 97,984.58, 135,220.14 and 73,411.82

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Solution

The fourth proportional to 97,984.58, 135,220.14 and 73,411.82 is: 101,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,984.58 : 135,220.14 = 73,411.82 : x
  2. Step 2: Convert to fraction form
    97,984.58/135,220.14 = 73,411.82/x
  3. Step 3: Cross multiply
    97,984.58x = 135,220.14 × 73,411.82
  4. Step 4: Simplify right side
    97,984.58x = 9,926,756,578.05
  5. Step 5: Solve for x
    x = 9,926,756,578.05/97,984.58
  6. Step 6: Final answer
    x = 101,309.38

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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.