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Finding the Fourth Proportional to 214,047.63, 321,074.62 and 101,739.40

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Solution

The fourth proportional to 214,047.63, 321,074.62 and 101,739.40 is: 152,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,047.63 : 321,074.62 = 101,739.40 : x
  2. Step 2: Convert to fraction form
    214,047.63/321,074.62 = 101,739.40/x
  3. Step 3: Cross multiply
    214,047.63x = 321,074.62 × 101,739.40
  4. Step 4: Simplify right side
    214,047.63x = 32,665,938,136.99
  5. Step 5: Solve for x
    x = 32,665,938,136.99/214,047.63
  6. Step 6: Final answer
    x = 152,610.60

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Why These Related Problems?

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