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Finding the Fourth Proportional to 194,907.84, 268,927.20 and 114,331.20

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Solution

The fourth proportional to 194,907.84, 268,927.20 and 114,331.20 is: 157,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,907.84 : 268,927.20 = 114,331.20 : x
  2. Step 2: Convert to fraction form
    194,907.84/268,927.20 = 114,331.20/x
  3. Step 3: Cross multiply
    194,907.84x = 268,927.20 × 114,331.20
  4. Step 4: Simplify right side
    194,907.84x = 30,746,769,488.64
  5. Step 5: Solve for x
    x = 30,746,769,488.64/194,907.84
  6. Step 6: Final answer
    x = 157,750.30

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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.