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Finding the Fourth Proportional to 263,412.92, 363,509.84 and 142,554.22

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Solution

The fourth proportional to 263,412.92, 363,509.84 and 142,554.22 is: 196,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,412.92 : 363,509.84 = 142,554.22 : x
  2. Step 2: Convert to fraction form
    263,412.92/363,509.84 = 142,554.22/x
  3. Step 3: Cross multiply
    263,412.92x = 363,509.84 × 142,554.22
  4. Step 4: Simplify right side
    263,412.92x = 51,819,861,703.52
  5. Step 5: Solve for x
    x = 51,819,861,703.52/263,412.92
  6. Step 6: Final answer
    x = 196,724.83

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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.