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Finding the Fourth Proportional to 100,482.50, 150,583.01 and 75,506.63

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Solution

The fourth proportional to 100,482.50, 150,583.01 and 75,506.63 is: 113,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,482.50 : 150,583.01 = 75,506.63 : x
  2. Step 2: Convert to fraction form
    100,482.50/150,583.01 = 75,506.63/x
  3. Step 3: Cross multiply
    100,482.50x = 150,583.01 × 75,506.63
  4. Step 4: Simplify right side
    100,482.50x = 11,370,014,489.91
  5. Step 5: Solve for x
    x = 11,370,014,489.91/100,482.50
  6. Step 6: Final answer
    x = 113,154.18

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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.