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Finding the Fourth Proportional to 277,148.70, 414,683.01 and 164,416.14

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Solution

The fourth proportional to 277,148.70, 414,683.01 and 164,416.14 is: 246,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,148.70 : 414,683.01 = 164,416.14 : x
  2. Step 2: Convert to fraction form
    277,148.70/414,683.01 = 164,416.14/x
  3. Step 3: Cross multiply
    277,148.70x = 414,683.01 × 164,416.14
  4. Step 4: Simplify right side
    277,148.70x = 68,180,579,827.78
  5. Step 5: Solve for x
    x = 68,180,579,827.78/277,148.70
  6. Step 6: Final answer
    x = 246,007.21

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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.