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Finding the Fourth Proportional to 213,269.36, 319,894.32 and 71,104.64

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Solution

The fourth proportional to 213,269.36, 319,894.32 and 71,104.64 is: 106,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,269.36 : 319,894.32 = 71,104.64 : x
  2. Step 2: Convert to fraction form
    213,269.36/319,894.32 = 71,104.64/x
  3. Step 3: Cross multiply
    213,269.36x = 319,894.32 × 71,104.64
  4. Step 4: Simplify right side
    213,269.36x = 22,745,970,461.64
  5. Step 5: Solve for x
    x = 22,745,970,461.64/213,269.36
  6. Step 6: Final answer
    x = 106,653.72

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1.5x scale

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.