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Finding the Fourth Proportional to 151,684, 227,348.84 and 114,123.40

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Solution

The fourth proportional to 151,684, 227,348.84 and 114,123.40 is: 171,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,684 : 227,348.84 = 114,123.40 : x
  2. Step 2: Convert to fraction form
    151,684/227,348.84 = 114,123.40/x
  3. Step 3: Cross multiply
    151,684x = 227,348.84 × 114,123.40
  4. Step 4: Simplify right side
    151,684x = 25,945,822,606.86
  5. Step 5: Solve for x
    x = 25,945,822,606.86/151,684
  6. Step 6: Final answer
    x = 171,051.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.