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Finding the Fourth Proportional to 277,100.64, 382,143.56 and 174,948.62

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Solution

The fourth proportional to 277,100.64, 382,143.56 and 174,948.62 is: 241,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,100.64 : 382,143.56 = 174,948.62 : x
  2. Step 2: Convert to fraction form
    277,100.64/382,143.56 = 174,948.62/x
  3. Step 3: Cross multiply
    277,100.64x = 382,143.56 × 174,948.62
  4. Step 4: Simplify right side
    277,100.64x = 66,855,485,678.43
  5. Step 5: Solve for x
    x = 66,855,485,678.43/277,100.64
  6. Step 6: Final answer
    x = 241,267.89

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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.