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Finding the Fourth Proportional to 98,452.20, 135,864 and 53,740.20

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Solution

The fourth proportional to 98,452.20, 135,864 and 53,740.20 is: 74,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,452.20 : 135,864 = 53,740.20 : x
  2. Step 2: Convert to fraction form
    98,452.20/135,864 = 53,740.20/x
  3. Step 3: Cross multiply
    98,452.20x = 135,864 × 53,740.20
  4. Step 4: Simplify right side
    98,452.20x = 7,301,358,532.80
  5. Step 5: Solve for x
    x = 7,301,358,532.80/98,452.20
  6. Step 6: Final answer
    x = 74,161.46

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