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Finding the Fourth Proportional to 98,099.20, 135,370.24 and 53,386.24

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Solution

The fourth proportional to 98,099.20, 135,370.24 and 53,386.24 is: 73,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,099.20 : 135,370.24 = 53,386.24 : x
  2. Step 2: Convert to fraction form
    98,099.20/135,370.24 = 53,386.24/x
  3. Step 3: Cross multiply
    98,099.20x = 135,370.24 × 53,386.24
  4. Step 4: Simplify right side
    98,099.20x = 7,226,908,121.50
  5. Step 5: Solve for x
    x = 7,226,908,121.50/98,099.20
  6. Step 6: Final answer
    x = 73,669.39

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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.