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Finding the Fourth Proportional to 537,657.75, 806,485.62 and 158,844.57

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Solution

The fourth proportional to 537,657.75, 806,485.62 and 158,844.57 is: 238,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,657.75 : 806,485.62 = 158,844.57 : x
  2. Step 2: Convert to fraction form
    537,657.75/806,485.62 = 158,844.57/x
  3. Step 3: Cross multiply
    537,657.75x = 806,485.62 × 158,844.57
  4. Step 4: Simplify right side
    537,657.75x = 128,105,861,520.08
  5. Step 5: Solve for x
    x = 128,105,861,520.08/537,657.75
  6. Step 6: Final answer
    x = 238,266.56

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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.