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Finding the Fourth Proportional to 295,855.50, 408,280.59 and 161,719.50

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Solution

The fourth proportional to 295,855.50, 408,280.59 and 161,719.50 is: 223,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,855.50 : 408,280.59 = 161,719.50 : x
  2. Step 2: Convert to fraction form
    295,855.50/408,280.59 = 161,719.50/x
  3. Step 3: Cross multiply
    295,855.50x = 408,280.59 × 161,719.50
  4. Step 4: Simplify right side
    295,855.50x = 66,026,932,874.51
  5. Step 5: Solve for x
    x = 66,026,932,874.51/295,855.50
  6. Step 6: Final answer
    x = 223,172.91

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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.