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Finding the Fourth Proportional to 214,030.56, 321,048.99 and 101,722.24

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Solution

The fourth proportional to 214,030.56, 321,048.99 and 101,722.24 is: 152,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,030.56 : 321,048.99 = 101,722.24 : x
  2. Step 2: Convert to fraction form
    214,030.56/321,048.99 = 101,722.24/x
  3. Step 3: Cross multiply
    214,030.56x = 321,048.99 × 101,722.24
  4. Step 4: Simplify right side
    214,030.56x = 32,657,822,813.85
  5. Step 5: Solve for x
    x = 32,657,822,813.85/214,030.56
  6. Step 6: Final answer
    x = 152,584.86

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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.