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Finding the Fourth Proportional to 256,924.80, 385,387.20 and 194,716.80

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Solution

The fourth proportional to 256,924.80, 385,387.20 and 194,716.80 is: 292,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,924.80 : 385,387.20 = 194,716.80 : x
  2. Step 2: Convert to fraction form
    256,924.80/385,387.20 = 194,716.80/x
  3. Step 3: Cross multiply
    256,924.80x = 385,387.20 × 194,716.80
  4. Step 4: Simplify right side
    256,924.80x = 75,041,362,344.96
  5. Step 5: Solve for x
    x = 75,041,362,344.96/256,924.80
  6. Step 6: Final answer
    x = 292,075.20

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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.