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Finding the Fourth Proportional to 100,236, 150,364.08 and 37,072.80

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Solution

The fourth proportional to 100,236, 150,364.08 and 37,072.80 is: 55,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,236 : 150,364.08 = 37,072.80 : x
  2. Step 2: Convert to fraction form
    100,236/150,364.08 = 37,072.80/x
  3. Step 3: Cross multiply
    100,236x = 150,364.08 × 37,072.80
  4. Step 4: Simplify right side
    100,236x = 5,574,417,465.02
  5. Step 5: Solve for x
    x = 5,574,417,465.02/100,236
  6. Step 6: Final answer
    x = 55,612.93

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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.