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Finding the Fourth Proportional to 154,163.83, 230,868.33 and 127,345.74

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Solution

The fourth proportional to 154,163.83, 230,868.33 and 127,345.74 is: 190,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,163.83 : 230,868.33 = 127,345.74 : x
  2. Step 2: Convert to fraction form
    154,163.83/230,868.33 = 127,345.74/x
  3. Step 3: Cross multiply
    154,163.83x = 230,868.33 × 127,345.74
  4. Step 4: Simplify right side
    154,163.83x = 29,400,098,326.41
  5. Step 5: Solve for x
    x = 29,400,098,326.41/154,163.83
  6. Step 6: Final answer
    x = 190,706.85

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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.