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Finding the Fourth Proportional to 111,784.36, 154,326.18 and 74,109.64

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Solution

The fourth proportional to 111,784.36, 154,326.18 and 74,109.64 is: 102,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,784.36 : 154,326.18 = 74,109.64 : x
  2. Step 2: Convert to fraction form
    111,784.36/154,326.18 = 74,109.64/x
  3. Step 3: Cross multiply
    111,784.36x = 154,326.18 × 74,109.64
  4. Step 4: Simplify right side
    111,784.36x = 11,437,057,642.38
  5. Step 5: Solve for x
    x = 11,437,057,642.38/111,784.36
  6. Step 6: Final answer
    x = 102,313.58

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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.