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Finding the Fourth Proportional to 210,086.28, 289,923.12 and 114,596.46

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Solution

The fourth proportional to 210,086.28, 289,923.12 and 114,596.46 is: 158,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,086.28 : 289,923.12 = 114,596.46 : x
  2. Step 2: Convert to fraction form
    210,086.28/289,923.12 = 114,596.46/x
  3. Step 3: Cross multiply
    210,086.28x = 289,923.12 × 114,596.46
  4. Step 4: Simplify right side
    210,086.28x = 33,224,163,224.16
  5. Step 5: Solve for x
    x = 33,224,163,224.16/210,086.28
  6. Step 6: Final answer
    x = 158,145.33

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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.