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Finding the Fourth Proportional to 277,172.37, 382,497.90 and 149,847.93

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Solution

The fourth proportional to 277,172.37, 382,497.90 and 149,847.93 is: 206,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,172.37 : 382,497.90 = 149,847.93 : x
  2. Step 2: Convert to fraction form
    277,172.37/382,497.90 = 149,847.93/x
  3. Step 3: Cross multiply
    277,172.37x = 382,497.90 × 149,847.93
  4. Step 4: Simplify right side
    277,172.37x = 57,316,518,544.35
  5. Step 5: Solve for x
    x = 57,316,518,544.35/277,172.37
  6. Step 6: Final answer
    x = 206,790.16

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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.