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Finding the Fourth Proportional to 217,013.60, 325,520.40 and 142,607

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Solution

The fourth proportional to 217,013.60, 325,520.40 and 142,607 is: 213,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,013.60 : 325,520.40 = 142,607 : x
  2. Step 2: Convert to fraction form
    217,013.60/325,520.40 = 142,607/x
  3. Step 3: Cross multiply
    217,013.60x = 325,520.40 × 142,607
  4. Step 4: Simplify right side
    217,013.60x = 46,421,487,682.80
  5. Step 5: Solve for x
    x = 46,421,487,682.80/217,013.60
  6. Step 6: Final answer
    x = 213,910.50

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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.