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Finding the Fourth Proportional to 233,411.34, 350,028.81 and 75,597.42

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Solution

The fourth proportional to 233,411.34, 350,028.81 and 75,597.42 is: 113,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,411.34 : 350,028.81 = 75,597.42 : x
  2. Step 2: Convert to fraction form
    233,411.34/350,028.81 = 75,597.42/x
  3. Step 3: Cross multiply
    233,411.34x = 350,028.81 × 75,597.42
  4. Step 4: Simplify right side
    233,411.34x = 26,461,274,961.67
  5. Step 5: Solve for x
    x = 26,461,274,961.67/233,411.34
  6. Step 6: Final answer
    x = 113,367.56

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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.