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Finding the Fourth Proportional to 214,877.88, 296,622.39 and 145,042.32

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Solution

The fourth proportional to 214,877.88, 296,622.39 and 145,042.32 is: 200,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,877.88 : 296,622.39 = 145,042.32 : x
  2. Step 2: Convert to fraction form
    214,877.88/296,622.39 = 145,042.32/x
  3. Step 3: Cross multiply
    214,877.88x = 296,622.39 × 145,042.32
  4. Step 4: Simplify right side
    214,877.88x = 43,022,799,609.54
  5. Step 5: Solve for x
    x = 43,022,799,609.54/214,877.88
  6. Step 6: Final answer
    x = 200,219.77

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