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Finding the Fourth Proportional to 217,029.60, 325,544.40 and 142,623.12

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Solution

The fourth proportional to 217,029.60, 325,544.40 and 142,623.12 is: 213,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,029.60 : 325,544.40 = 142,623.12 : x
  2. Step 2: Convert to fraction form
    217,029.60/325,544.40 = 142,623.12/x
  3. Step 3: Cross multiply
    217,029.60x = 325,544.40 × 142,623.12
  4. Step 4: Simplify right side
    217,029.60x = 46,430,158,026.53
  5. Step 5: Solve for x
    x = 46,430,158,026.53/217,029.60
  6. Step 6: Final answer
    x = 213,934.68

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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.