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Finding the Fourth Proportional to 264,003.71, 364,625.80 and 178,973.15

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Solution

The fourth proportional to 264,003.71, 364,625.80 and 178,973.15 is: 247,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,003.71 : 364,625.80 = 178,973.15 : x
  2. Step 2: Convert to fraction form
    264,003.71/364,625.80 = 178,973.15/x
  3. Step 3: Cross multiply
    264,003.71x = 364,625.80 × 178,973.15
  4. Step 4: Simplify right side
    264,003.71x = 65,258,226,733.43
  5. Step 5: Solve for x
    x = 65,258,226,733.43/264,003.71
  6. Step 6: Final answer
    x = 247,186.78

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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.