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Finding the Fourth Proportional to 100,193.84, 150,366.90 and 37,073.72

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Solution

The fourth proportional to 100,193.84, 150,366.90 and 37,073.72 is: 55,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,193.84 : 150,366.90 = 37,073.72 : x
  2. Step 2: Convert to fraction form
    100,193.84/150,366.90 = 37,073.72/x
  3. Step 3: Cross multiply
    100,193.84x = 150,366.90 × 37,073.72
  4. Step 4: Simplify right side
    100,193.84x = 5,574,660,347.87
  5. Step 5: Solve for x
    x = 5,574,660,347.87/100,193.84
  6. Step 6: Final answer
    x = 55,638.75

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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.