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Finding the Fourth Proportional to 263,226.84, 363,252 and 142,368.30

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Solution

The fourth proportional to 263,226.84, 363,252 and 142,368.30 is: 196,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,226.84 : 363,252 = 142,368.30 : x
  2. Step 2: Convert to fraction form
    263,226.84/363,252 = 142,368.30/x
  3. Step 3: Cross multiply
    263,226.84x = 363,252 × 142,368.30
  4. Step 4: Simplify right side
    263,226.84x = 51,715,569,711.60
  5. Step 5: Solve for x
    x = 51,715,569,711.60/263,226.84
  6. Step 6: Final answer
    x = 196,467.69

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1.5x scale

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.