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Finding the Fourth Proportional to 265,414, 366,271.32 and 146,182

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Solution

The fourth proportional to 265,414, 366,271.32 and 146,182 is: 201,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,414 : 366,271.32 = 146,182 : x
  2. Step 2: Convert to fraction form
    265,414/366,271.32 = 146,182/x
  3. Step 3: Cross multiply
    265,414x = 366,271.32 × 146,182
  4. Step 4: Simplify right side
    265,414x = 53,542,274,100.24
  5. Step 5: Solve for x
    x = 53,542,274,100.24/265,414
  6. Step 6: Final answer
    x = 201,731.16

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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.