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Finding the Fourth Proportional to 227,870.26, 342,019.86 and 115,631.02

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Solution

The fourth proportional to 227,870.26, 342,019.86 and 115,631.02 is: 173,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,870.26 : 342,019.86 = 115,631.02 : x
  2. Step 2: Convert to fraction form
    227,870.26/342,019.86 = 115,631.02/x
  3. Step 3: Cross multiply
    227,870.26x = 342,019.86 × 115,631.02
  4. Step 4: Simplify right side
    227,870.26x = 39,548,105,272.06
  5. Step 5: Solve for x
    x = 39,548,105,272.06/227,870.26
  6. Step 6: Final answer
    x = 173,555.36

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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.