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Finding the Fourth Proportional to 214,498.64, 321,329.40 and 140,402

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Solution

The fourth proportional to 214,498.64, 321,329.40 and 140,402 is: 210,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,498.64 : 321,329.40 = 140,402 : x
  2. Step 2: Convert to fraction form
    214,498.64/321,329.40 = 140,402/x
  3. Step 3: Cross multiply
    214,498.64x = 321,329.40 × 140,402
  4. Step 4: Simplify right side
    214,498.64x = 45,115,290,418.80
  5. Step 5: Solve for x
    x = 45,115,290,418.80/214,498.64
  6. Step 6: Final answer
    x = 210,329.03

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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.