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Finding the Fourth Proportional to 233,218.13, 349,836.30 and 73,403.10

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Solution

The fourth proportional to 233,218.13, 349,836.30 and 73,403.10 is: 110,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,218.13 : 349,836.30 = 73,403.10 : x
  2. Step 2: Convert to fraction form
    233,218.13/349,836.30 = 73,403.10/x
  3. Step 3: Cross multiply
    233,218.13x = 349,836.30 × 73,403.10
  4. Step 4: Simplify right side
    233,218.13x = 25,679,068,912.53
  5. Step 5: Solve for x
    x = 25,679,068,912.53/233,218.13
  6. Step 6: Final answer
    x = 110,107.52

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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.