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Finding the Fourth Proportional to 194,907.80, 292,361.70 and 54,690.20

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Solution

The fourth proportional to 194,907.80, 292,361.70 and 54,690.20 is: 82,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,907.80 : 292,361.70 = 54,690.20 : x
  2. Step 2: Convert to fraction form
    194,907.80/292,361.70 = 54,690.20/x
  3. Step 3: Cross multiply
    194,907.80x = 292,361.70 × 54,690.20
  4. Step 4: Simplify right side
    194,907.80x = 15,989,319,845.34
  5. Step 5: Solve for x
    x = 15,989,319,845.34/194,907.80
  6. Step 6: Final answer
    x = 82,035.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.