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Finding the Fourth Proportional to 277,463.04, 382,855.68 and 158,208

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Solution

The fourth proportional to 277,463.04, 382,855.68 and 158,208 is: 218,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,463.04 : 382,855.68 = 158,208 : x
  2. Step 2: Convert to fraction form
    277,463.04/382,855.68 = 158,208/x
  3. Step 3: Cross multiply
    277,463.04x = 382,855.68 × 158,208
  4. Step 4: Simplify right side
    277,463.04x = 60,570,831,421.44
  5. Step 5: Solve for x
    x = 60,570,831,421.44/277,463.04
  6. Step 6: Final answer
    x = 218,302.34

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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.