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Finding the Fourth Proportional to 233,907.64, 350,904.74 and 74,023.81

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Solution

The fourth proportional to 233,907.64, 350,904.74 and 74,023.81 is: 111,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,907.64 : 350,904.74 = 74,023.81 : x
  2. Step 2: Convert to fraction form
    233,907.64/350,904.74 = 74,023.81/x
  3. Step 3: Cross multiply
    233,907.64x = 350,904.74 × 74,023.81
  4. Step 4: Simplify right side
    233,907.64x = 25,975,305,801.86
  5. Step 5: Solve for x
    x = 25,975,305,801.86/233,907.64
  6. Step 6: Final answer
    x = 111,049.41

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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.