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Finding the Fourth Proportional to 228,059, 342,099.84 and 161,574.20

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Solution

The fourth proportional to 228,059, 342,099.84 and 161,574.20 is: 242,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,059 : 342,099.84 = 161,574.20 : x
  2. Step 2: Convert to fraction form
    228,059/342,099.84 = 161,574.20/x
  3. Step 3: Cross multiply
    228,059x = 342,099.84 × 161,574.20
  4. Step 4: Simplify right side
    228,059x = 55,274,507,968.13
  5. Step 5: Solve for x
    x = 55,274,507,968.13/228,059
  6. Step 6: Final answer
    x = 242,369.33

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1.5x scale

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.