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Finding the Fourth Proportional to 263,670.96, 363,863.72 and 142,809.44

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Solution

The fourth proportional to 263,670.96, 363,863.72 and 142,809.44 is: 197,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,670.96 : 363,863.72 = 142,809.44 : x
  2. Step 2: Convert to fraction form
    263,670.96/363,863.72 = 142,809.44/x
  3. Step 3: Cross multiply
    263,670.96x = 363,863.72 × 142,809.44
  4. Step 4: Simplify right side
    263,670.96x = 51,963,174,089.52
  5. Step 5: Solve for x
    x = 51,963,174,089.52/263,670.96
  6. Step 6: Final answer
    x = 197,075.83

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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.