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Finding the Fourth Proportional to 230,744.49, 346,175.20 and 70,828.53

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Solution

The fourth proportional to 230,744.49, 346,175.20 and 70,828.53 is: 106,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,744.49 : 346,175.20 = 70,828.53 : x
  2. Step 2: Convert to fraction form
    230,744.49/346,175.20 = 70,828.53/x
  3. Step 3: Cross multiply
    230,744.49x = 346,175.20 × 70,828.53
  4. Step 4: Simplify right side
    230,744.49x = 24,519,080,184.31
  5. Step 5: Solve for x
    x = 24,519,080,184.31/230,744.49
  6. Step 6: Final answer
    x = 106,260.74

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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.