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Finding the Fourth Proportional to 214,101.60, 321,076.80 and 73,827.60

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Solution

The fourth proportional to 214,101.60, 321,076.80 and 73,827.60 is: 110,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,101.60 : 321,076.80 = 73,827.60 : x
  2. Step 2: Convert to fraction form
    214,101.60/321,076.80 = 73,827.60/x
  3. Step 3: Cross multiply
    214,101.60x = 321,076.80 × 73,827.60
  4. Step 4: Simplify right side
    214,101.60x = 23,704,329,559.68
  5. Step 5: Solve for x
    x = 23,704,329,559.68/214,101.60
  6. Step 6: Final answer
    x = 110,715.33

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1.5x scale

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.