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Finding the Fourth Proportional to 277,482.63, 382,928.77 and 150,160.95

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Solution

The fourth proportional to 277,482.63, 382,928.77 and 150,160.95 is: 207,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,482.63 : 382,928.77 = 150,160.95 : x
  2. Step 2: Convert to fraction form
    277,482.63/382,928.77 = 150,160.95/x
  3. Step 3: Cross multiply
    277,482.63x = 382,928.77 × 150,160.95
  4. Step 4: Simplify right side
    277,482.63x = 57,500,947,885.53
  5. Step 5: Solve for x
    x = 57,500,947,885.53/277,482.63
  6. Step 6: Final answer
    x = 207,223.59

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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.