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Finding the Fourth Proportional to 295,815.84, 408,225.72 and 161,679.84

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Solution

The fourth proportional to 295,815.84, 408,225.72 and 161,679.84 is: 223,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,815.84 : 408,225.72 = 161,679.84 : x
  2. Step 2: Convert to fraction form
    295,815.84/408,225.72 = 161,679.84/x
  3. Step 3: Cross multiply
    295,815.84x = 408,225.72 × 161,679.84
  4. Step 4: Simplify right side
    295,815.84x = 66,001,869,093.48
  5. Step 5: Solve for x
    x = 66,001,869,093.48/295,815.84
  6. Step 6: Final answer
    x = 223,118.10

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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.