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Finding the Fourth Proportional to 142,172.91, 214,103.07 and 126,601.47

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Solution

The fourth proportional to 142,172.91, 214,103.07 and 126,601.47 is: 190,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,172.91 : 214,103.07 = 126,601.47 : x
  2. Step 2: Convert to fraction form
    142,172.91/214,103.07 = 126,601.47/x
  3. Step 3: Cross multiply
    142,172.91x = 214,103.07 × 126,601.47
  4. Step 4: Simplify right side
    142,172.91x = 27,105,763,393.51
  5. Step 5: Solve for x
    x = 27,105,763,393.51/142,172.91
  6. Step 6: Final answer
    x = 190,653.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.