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Finding the Fourth Proportional to 277,483.75, 382,930.32 and 150,162.09

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Solution

The fourth proportional to 277,483.75, 382,930.32 and 150,162.09 is: 207,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,483.75 : 382,930.32 = 150,162.09 : x
  2. Step 2: Convert to fraction form
    277,483.75/382,930.32 = 150,162.09/x
  3. Step 3: Cross multiply
    277,483.75x = 382,930.32 × 150,162.09
  4. Step 4: Simplify right side
    277,483.75x = 57,501,617,175.57
  5. Step 5: Solve for x
    x = 57,501,617,175.57/277,483.75
  6. Step 6: Final answer
    x = 207,225.17

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1.5x scale

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.