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Finding the Fourth Proportional to 210,323.28, 290,235.06 and 114,811.50

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Solution

The fourth proportional to 210,323.28, 290,235.06 and 114,811.50 is: 158,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,323.28 : 290,235.06 = 114,811.50 : x
  2. Step 2: Convert to fraction form
    210,323.28/290,235.06 = 114,811.50/x
  3. Step 3: Cross multiply
    210,323.28x = 290,235.06 × 114,811.50
  4. Step 4: Simplify right side
    210,323.28x = 33,322,322,591.19
  5. Step 5: Solve for x
    x = 33,322,322,591.19/210,323.28
  6. Step 6: Final answer
    x = 158,433.83

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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.