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Finding the Fourth Proportional to 230,095.74, 345,028.11 and 134,064.05

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Solution

The fourth proportional to 230,095.74, 345,028.11 and 134,064.05 is: 201,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,095.74 : 345,028.11 = 134,064.05 : x
  2. Step 2: Convert to fraction form
    230,095.74/345,028.11 = 134,064.05/x
  3. Step 3: Cross multiply
    230,095.74x = 345,028.11 × 134,064.05
  4. Step 4: Simplify right side
    230,095.74x = 46,255,863,562.56
  5. Step 5: Solve for x
    x = 46,255,863,562.56/230,095.74
  6. Step 6: Final answer
    x = 201,028.77

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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.