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Finding the Fourth Proportional to 296,138, 408,680.16 and 162,002

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Solution

The fourth proportional to 296,138, 408,680.16 and 162,002 is: 223,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,138 : 408,680.16 = 162,002 : x
  2. Step 2: Convert to fraction form
    296,138/408,680.16 = 162,002/x
  3. Step 3: Cross multiply
    296,138x = 408,680.16 × 162,002
  4. Step 4: Simplify right side
    296,138x = 66,207,003,280.32
  5. Step 5: Solve for x
    x = 66,207,003,280.32/296,138
  6. Step 6: Final answer
    x = 223,568.08

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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.