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Finding the Fourth Proportional to 214,659.84, 322,137.72 and 88,308.48

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Solution

The fourth proportional to 214,659.84, 322,137.72 and 88,308.48 is: 132,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,659.84 : 322,137.72 = 88,308.48 : x
  2. Step 2: Convert to fraction form
    214,659.84/322,137.72 = 88,308.48/x
  3. Step 3: Cross multiply
    214,659.84x = 322,137.72 × 88,308.48
  4. Step 4: Simplify right side
    214,659.84x = 28,447,492,403.87
  5. Step 5: Solve for x
    x = 28,447,492,403.87/214,659.84
  6. Step 6: Final answer
    x = 132,523.59

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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.