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Finding the Fourth Proportional to 270,252, 372,959.28 and 151,020

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Solution

The fourth proportional to 270,252, 372,959.28 and 151,020 is: 208,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,252 : 372,959.28 = 151,020 : x
  2. Step 2: Convert to fraction form
    270,252/372,959.28 = 151,020/x
  3. Step 3: Cross multiply
    270,252x = 372,959.28 × 151,020
  4. Step 4: Simplify right side
    270,252x = 56,324,310,465.60
  5. Step 5: Solve for x
    x = 56,324,310,465.60/270,252
  6. Step 6: Final answer
    x = 208,414.04

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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.