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Finding the Fourth Proportional to 228,458.34, 342,724.23 and 78,661.80

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Solution

The fourth proportional to 228,458.34, 342,724.23 and 78,661.80 is: 118,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,458.34 : 342,724.23 = 78,661.80 : x
  2. Step 2: Convert to fraction form
    228,458.34/342,724.23 = 78,661.80/x
  3. Step 3: Cross multiply
    228,458.34x = 342,724.23 × 78,661.80
  4. Step 4: Simplify right side
    228,458.34x = 26,959,304,835.41
  5. Step 5: Solve for x
    x = 26,959,304,835.41/228,458.34
  6. Step 6: Final answer
    x = 118,005.34

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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.