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Finding the Fourth Proportional to 227,148.69, 340,346.35 and 138,132.93

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Solution

The fourth proportional to 227,148.69, 340,346.35 and 138,132.93 is: 206,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,148.69 : 340,346.35 = 138,132.93 : x
  2. Step 2: Convert to fraction form
    227,148.69/340,346.35 = 138,132.93/x
  3. Step 3: Cross multiply
    227,148.69x = 340,346.35 × 138,132.93
  4. Step 4: Simplify right side
    227,148.69x = 47,013,038,540.31
  5. Step 5: Solve for x
    x = 47,013,038,540.31/227,148.69
  6. Step 6: Final answer
    x = 206,970.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.