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Finding the Fourth Proportional to 100,663.14, 150,994.26 and 25,783.14

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Solution

The fourth proportional to 100,663.14, 150,994.26 and 25,783.14 is: 38,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,663.14 : 150,994.26 = 25,783.14 : x
  2. Step 2: Convert to fraction form
    100,663.14/150,994.26 = 25,783.14/x
  3. Step 3: Cross multiply
    100,663.14x = 150,994.26 × 25,783.14
  4. Step 4: Simplify right side
    100,663.14x = 3,893,106,144.78
  5. Step 5: Solve for x
    x = 3,893,106,144.78/100,663.14
  6. Step 6: Final answer
    x = 38,674.59

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1.5x scale

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.