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Finding the Fourth Proportional to 270,116, 372,760.08 and 150,884

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Solution

The fourth proportional to 270,116, 372,760.08 and 150,884 is: 208,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,116 : 372,760.08 = 150,884 : x
  2. Step 2: Convert to fraction form
    270,116/372,760.08 = 150,884/x
  3. Step 3: Cross multiply
    270,116x = 372,760.08 × 150,884
  4. Step 4: Simplify right side
    270,116x = 56,243,531,910.72
  5. Step 5: Solve for x
    x = 56,243,531,910.72/270,116
  6. Step 6: Final answer
    x = 208,219.92

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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.