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Finding the Fourth Proportional to 214,878.88, 296,623.77 and 145,043.32

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Solution

The fourth proportional to 214,878.88, 296,623.77 and 145,043.32 is: 200,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,878.88 : 296,623.77 = 145,043.32 : x
  2. Step 2: Convert to fraction form
    214,878.88/296,623.77 = 145,043.32/x
  3. Step 3: Cross multiply
    214,878.88x = 296,623.77 × 145,043.32
  4. Step 4: Simplify right side
    214,878.88x = 43,023,296,391.72
  5. Step 5: Solve for x
    x = 43,023,296,391.72/214,878.88
  6. Step 6: Final answer
    x = 200,221.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.