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Finding the Fourth Proportional to 210,021.39, 289,835.21 and 128,362.86

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Solution

The fourth proportional to 210,021.39, 289,835.21 and 128,362.86 is: 177,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,021.39 : 289,835.21 = 128,362.86 : x
  2. Step 2: Convert to fraction form
    210,021.39/289,835.21 = 128,362.86/x
  3. Step 3: Cross multiply
    210,021.39x = 289,835.21 × 128,362.86
  4. Step 4: Simplify right side
    210,021.39x = 37,204,076,805.21
  5. Step 5: Solve for x
    x = 37,204,076,805.21/210,021.39
  6. Step 6: Final answer
    x = 177,144.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.