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Finding the Fourth Proportional to 213,724.60, 320,702.10 and 89,078.20

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Solution

The fourth proportional to 213,724.60, 320,702.10 and 89,078.20 is: 133,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,724.60 : 320,702.10 = 89,078.20 : x
  2. Step 2: Convert to fraction form
    213,724.60/320,702.10 = 89,078.20/x
  3. Step 3: Cross multiply
    213,724.60x = 320,702.10 × 89,078.20
  4. Step 4: Simplify right side
    213,724.60x = 28,567,565,804.22
  5. Step 5: Solve for x
    x = 28,567,565,804.22/213,724.60
  6. Step 6: Final answer
    x = 133,665.31

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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.