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Finding the Fourth Proportional to 277,482.78, 382,927.23 and 150,158.34

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Solution

The fourth proportional to 277,482.78, 382,927.23 and 150,158.34 is: 207,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,482.78 : 382,927.23 = 150,158.34 : x
  2. Step 2: Convert to fraction form
    277,482.78/382,927.23 = 150,158.34/x
  3. Step 3: Cross multiply
    277,482.78x = 382,927.23 × 150,158.34
  4. Step 4: Simplify right side
    277,482.78x = 57,499,717,197.60
  5. Step 5: Solve for x
    x = 57,499,717,197.60/277,482.78
  6. Step 6: Final answer
    x = 207,219.05

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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.