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Finding the Fourth Proportional to 230,080.23, 344,948.22 and 154,989.63

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Solution

The fourth proportional to 230,080.23, 344,948.22 and 154,989.63 is: 232,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,080.23 : 344,948.22 = 154,989.63 : x
  2. Step 2: Convert to fraction form
    230,080.23/344,948.22 = 154,989.63/x
  3. Step 3: Cross multiply
    230,080.23x = 344,948.22 × 154,989.63
  4. Step 4: Simplify right side
    230,080.23x = 53,463,396,986.96
  5. Step 5: Solve for x
    x = 53,463,396,986.96/230,080.23
  6. Step 6: Final answer
    x = 232,368.50

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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.