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Finding the Fourth Proportional to 270,096.50, 372,733.26 and 150,864.50

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Solution

The fourth proportional to 270,096.50, 372,733.26 and 150,864.50 is: 208,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,096.50 : 372,733.26 = 150,864.50 : x
  2. Step 2: Convert to fraction form
    270,096.50/372,733.26 = 150,864.50/x
  3. Step 3: Cross multiply
    270,096.50x = 372,733.26 × 150,864.50
  4. Step 4: Simplify right side
    270,096.50x = 56,232,216,903.27
  5. Step 5: Solve for x
    x = 56,232,216,903.27/270,096.50
  6. Step 6: Final answer
    x = 208,193.06

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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.