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Finding the Fourth Proportional to 265,863.96, 366,968.14 and 151,204.41

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Solution

The fourth proportional to 265,863.96, 366,968.14 and 151,204.41 is: 208,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,863.96 : 366,968.14 = 151,204.41 : x
  2. Step 2: Convert to fraction form
    265,863.96/366,968.14 = 151,204.41/x
  3. Step 3: Cross multiply
    265,863.96x = 366,968.14 × 151,204.41
  4. Step 4: Simplify right side
    265,863.96x = 55,487,200,719.49
  5. Step 5: Solve for x
    x = 55,487,200,719.49/265,863.96
  6. Step 6: Final answer
    x = 208,705.24

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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.