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Finding the Fourth Proportional to 111,473.14, 153,825.36 and 61,175.38

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Solution

The fourth proportional to 111,473.14, 153,825.36 and 61,175.38 is: 84,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,473.14 : 153,825.36 = 61,175.38 : x
  2. Step 2: Convert to fraction form
    111,473.14/153,825.36 = 61,175.38/x
  3. Step 3: Cross multiply
    111,473.14x = 153,825.36 × 61,175.38
  4. Step 4: Simplify right side
    111,473.14x = 9,410,324,851.64
  5. Step 5: Solve for x
    x = 9,410,324,851.64/111,473.14
  6. Step 6: Final answer
    x = 84,417.87

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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.