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Finding the Fourth Proportional to 277,482.71, 382,928.87 and 150,161.03

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Solution

The fourth proportional to 277,482.71, 382,928.87 and 150,161.03 is: 207,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,482.71 : 382,928.87 = 150,161.03 : x
  2. Step 2: Convert to fraction form
    277,482.71/382,928.87 = 150,161.03/x
  3. Step 3: Cross multiply
    277,482.71x = 382,928.87 × 150,161.03
  4. Step 4: Simplify right side
    277,482.71x = 57,500,990,870.49
  5. Step 5: Solve for x
    x = 57,500,990,870.49/277,482.71
  6. Step 6: Final answer
    x = 207,223.69

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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.