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Finding the Fourth Proportional to 295,706.08, 408,074.50 and 159,740.02

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Solution

The fourth proportional to 295,706.08, 408,074.50 and 159,740.02 is: 220,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,706.08 : 408,074.50 = 159,740.02 : x
  2. Step 2: Convert to fraction form
    295,706.08/408,074.50 = 159,740.02/x
  3. Step 3: Cross multiply
    295,706.08x = 408,074.50 × 159,740.02
  4. Step 4: Simplify right side
    295,706.08x = 65,185,828,791.49
  5. Step 5: Solve for x
    x = 65,185,828,791.49/295,706.08
  6. Step 6: Final answer
    x = 220,441.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.