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Finding the Fourth Proportional to 98,515.14, 135,954.15 and 53,803.14

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Solution

The fourth proportional to 98,515.14, 135,954.15 and 53,803.14 is: 74,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,515.14 : 135,954.15 = 53,803.14 : x
  2. Step 2: Convert to fraction form
    98,515.14/135,954.15 = 53,803.14/x
  3. Step 3: Cross multiply
    98,515.14x = 135,954.15 × 53,803.14
  4. Step 4: Simplify right side
    98,515.14x = 7,314,760,166.03
  5. Step 5: Solve for x
    x = 7,314,760,166.03/98,515.14
  6. Step 6: Final answer
    x = 74,250.11

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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.