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Finding the Fourth Proportional to 213,702.60, 295,000.32 and 133,169.88

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Solution

The fourth proportional to 213,702.60, 295,000.32 and 133,169.88 is: 183,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,702.60 : 295,000.32 = 133,169.88 : x
  2. Step 2: Convert to fraction form
    213,702.60/295,000.32 = 133,169.88/x
  3. Step 3: Cross multiply
    213,702.60x = 295,000.32 × 133,169.88
  4. Step 4: Simplify right side
    213,702.60x = 39,285,157,214.36
  5. Step 5: Solve for x
    x = 39,285,157,214.36/213,702.60
  6. Step 6: Final answer
    x = 183,830.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.