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Finding the Fourth Proportional to 277,378.84, 382,781.48 and 150,053.32

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Solution

The fourth proportional to 277,378.84, 382,781.48 and 150,053.32 is: 207,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,378.84 : 382,781.48 = 150,053.32 : x
  2. Step 2: Convert to fraction form
    277,378.84/382,781.48 = 150,053.32/x
  3. Step 3: Cross multiply
    277,378.84x = 382,781.48 × 150,053.32
  4. Step 4: Simplify right side
    277,378.84x = 57,437,631,908.51
  5. Step 5: Solve for x
    x = 57,437,631,908.51/277,378.84
  6. Step 6: Final answer
    x = 207,072.87

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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.