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Finding the Fourth Proportional to 227,095.24, 340,642.86 and 86,896.84

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Solution

The fourth proportional to 227,095.24, 340,642.86 and 86,896.84 is: 130,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,095.24 : 340,642.86 = 86,896.84 : x
  2. Step 2: Convert to fraction form
    227,095.24/340,642.86 = 86,896.84/x
  3. Step 3: Cross multiply
    227,095.24x = 340,642.86 × 86,896.84
  4. Step 4: Simplify right side
    227,095.24x = 29,600,788,102.56
  5. Step 5: Solve for x
    x = 29,600,788,102.56/227,095.24
  6. Step 6: Final answer
    x = 130,345.26

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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.