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Finding the Fourth Proportional to 217,052.40, 325,384.20 and 142,208.40

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Solution

The fourth proportional to 217,052.40, 325,384.20 and 142,208.40 is: 213,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,052.40 : 325,384.20 = 142,208.40 : x
  2. Step 2: Convert to fraction form
    217,052.40/325,384.20 = 142,208.40/x
  3. Step 3: Cross multiply
    217,052.40x = 325,384.20 × 142,208.40
  4. Step 4: Simplify right side
    217,052.40x = 46,272,366,467.28
  5. Step 5: Solve for x
    x = 46,272,366,467.28/217,052.40
  6. Step 6: Final answer
    x = 213,185.23

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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.