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Finding the Fourth Proportional to 98,758.22, 147,846.47 and 61,197.57

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Solution

The fourth proportional to 98,758.22, 147,846.47 and 61,197.57 is: 91,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,758.22 : 147,846.47 = 61,197.57 : x
  2. Step 2: Convert to fraction form
    98,758.22/147,846.47 = 61,197.57/x
  3. Step 3: Cross multiply
    98,758.22x = 147,846.47 × 61,197.57
  4. Step 4: Simplify right side
    98,758.22x = 9,047,844,391.09
  5. Step 5: Solve for x
    x = 9,047,844,391.09/98,758.22
  6. Step 6: Final answer
    x = 91,616.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.