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Finding the Fourth Proportional to 214,116.95, 321,150.40 and 86,028.05

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Solution

The fourth proportional to 214,116.95, 321,150.40 and 86,028.05 is: 129,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,116.95 : 321,150.40 = 86,028.05 : x
  2. Step 2: Convert to fraction form
    214,116.95/321,150.40 = 86,028.05/x
  3. Step 3: Cross multiply
    214,116.95x = 321,150.40 × 86,028.05
  4. Step 4: Simplify right side
    214,116.95x = 27,627,941,170.50
  5. Step 5: Solve for x
    x = 27,627,941,170.50/214,116.95
  6. Step 6: Final answer
    x = 129,032.01

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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.