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Finding the Fourth Proportional to 98,113, 135,395.94 and 53,401

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Solution

The fourth proportional to 98,113, 135,395.94 and 53,401 is: 73,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,113 : 135,395.94 = 53,401 : x
  2. Step 2: Convert to fraction form
    98,113/135,395.94 = 53,401/x
  3. Step 3: Cross multiply
    98,113x = 135,395.94 × 53,401
  4. Step 4: Simplify right side
    98,113x = 7,230,278,591.94
  5. Step 5: Solve for x
    x = 7,230,278,591.94/98,113
  6. Step 6: Final answer
    x = 73,693.38

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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.