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Finding the Fourth Proportional to 155,853.80, 233,632.74 and 50,599.16

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Solution

The fourth proportional to 155,853.80, 233,632.74 and 50,599.16 is: 75,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,853.80 : 233,632.74 = 50,599.16 : x
  2. Step 2: Convert to fraction form
    155,853.80/233,632.74 = 50,599.16/x
  3. Step 3: Cross multiply
    155,853.80x = 233,632.74 × 50,599.16
  4. Step 4: Simplify right side
    155,853.80x = 11,821,620,392.50
  5. Step 5: Solve for x
    x = 11,821,620,392.50/155,853.80
  6. Step 6: Final answer
    x = 75,850.70

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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.