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Finding the Fourth Proportional to 214,033.19, 321,052.93 and 101,724.87

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Solution

The fourth proportional to 214,033.19, 321,052.93 and 101,724.87 is: 152,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,033.19 : 321,052.93 = 101,724.87 : x
  2. Step 2: Convert to fraction form
    214,033.19/321,052.93 = 101,724.87/x
  3. Step 3: Cross multiply
    214,033.19x = 321,052.93 × 101,724.87
  4. Step 4: Simplify right side
    214,033.19x = 32,659,067,313.06
  5. Step 5: Solve for x
    x = 32,659,067,313.06/214,033.19
  6. Step 6: Final answer
    x = 152,588.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.