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Finding the Fourth Proportional to 264,213.88, 364,615.17 and 151,039.06

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Solution

The fourth proportional to 264,213.88, 364,615.17 and 151,039.06 is: 208,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,213.88 : 364,615.17 = 151,039.06 : x
  2. Step 2: Convert to fraction form
    264,213.88/364,615.17 = 151,039.06/x
  3. Step 3: Cross multiply
    264,213.88x = 364,615.17 × 151,039.06
  4. Step 4: Simplify right side
    264,213.88x = 55,071,132,538.54
  5. Step 5: Solve for x
    x = 55,071,132,538.54/264,213.88
  6. Step 6: Final answer
    x = 208,433.91

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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.