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Finding the Fourth Proportional to 214,881.88, 296,627.92 and 145,046.32

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Solution

The fourth proportional to 214,881.88, 296,627.92 and 145,046.32 is: 200,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,881.88 : 296,627.92 = 145,046.32 : x
  2. Step 2: Convert to fraction form
    214,881.88/296,627.92 = 145,046.32/x
  3. Step 3: Cross multiply
    214,881.88x = 296,627.92 × 145,046.32
  4. Step 4: Simplify right side
    214,881.88x = 43,024,788,205.25
  5. Step 5: Solve for x
    x = 43,024,788,205.25/214,881.88
  6. Step 6: Final answer
    x = 200,225.30

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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.