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Finding the Fourth Proportional to 277,111.60, 382,412.76 and 149,786.88

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Solution

The fourth proportional to 277,111.60, 382,412.76 and 149,786.88 is: 206,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,111.60 : 382,412.76 = 149,786.88 : x
  2. Step 2: Convert to fraction form
    277,111.60/382,412.76 = 149,786.88/x
  3. Step 3: Cross multiply
    277,111.60x = 382,412.76 × 149,786.88
  4. Step 4: Simplify right side
    277,111.60x = 57,280,414,192.59
  5. Step 5: Solve for x
    x = 57,280,414,192.59/277,111.60
  6. Step 6: Final answer
    x = 206,705.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.