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Finding the Fourth Proportional to 227,054.68, 340,592.82 and 86,825.32

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Solution

The fourth proportional to 227,054.68, 340,592.82 and 86,825.32 is: 130,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,054.68 : 340,592.82 = 86,825.32 : x
  2. Step 2: Convert to fraction form
    227,054.68/340,592.82 = 86,825.32/x
  3. Step 3: Cross multiply
    227,054.68x = 340,592.82 × 86,825.32
  4. Step 4: Simplify right side
    227,054.68x = 29,572,080,586.20
  5. Step 5: Solve for x
    x = 29,572,080,586.20/227,054.68
  6. Step 6: Final answer
    x = 130,242.11

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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.