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Finding the Fourth Proportional to 234,064.74, 351,106.84 and 76,294.56

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Solution

The fourth proportional to 234,064.74, 351,106.84 and 76,294.56 is: 114,445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,064.74 : 351,106.84 = 76,294.56 : x
  2. Step 2: Convert to fraction form
    234,064.74/351,106.84 = 76,294.56/x
  3. Step 3: Cross multiply
    234,064.74x = 351,106.84 × 76,294.56
  4. Step 4: Simplify right side
    234,064.74x = 26,787,541,870.79
  5. Step 5: Solve for x
    x = 26,787,541,870.79/234,064.74
  6. Step 6: Final answer
    x = 114,445.01

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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.