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Finding the Fourth Proportional to 151,683, 227,347.34 and 114,122.40

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Solution

The fourth proportional to 151,683, 227,347.34 and 114,122.40 is: 171,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,683 : 227,347.34 = 114,122.40 : x
  2. Step 2: Convert to fraction form
    151,683/227,347.34 = 114,122.40/x
  3. Step 3: Cross multiply
    151,683x = 227,347.34 × 114,122.40
  4. Step 4: Simplify right side
    151,683x = 25,945,424,074.42
  5. Step 5: Solve for x
    x = 25,945,424,074.42/151,683
  6. Step 6: Final answer
    x = 171,050.31

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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.