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Finding the Fourth Proportional to 265,412, 366,268.56 and 146,180

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Solution

The fourth proportional to 265,412, 366,268.56 and 146,180 is: 201,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,412 : 366,268.56 = 146,180 : x
  2. Step 2: Convert to fraction form
    265,412/366,268.56 = 146,180/x
  3. Step 3: Cross multiply
    265,412x = 366,268.56 × 146,180
  4. Step 4: Simplify right side
    265,412x = 53,541,138,100.80
  5. Step 5: Solve for x
    x = 53,541,138,100.80/265,412
  6. Step 6: Final answer
    x = 201,728.40

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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.