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Finding the Fourth Proportional to 265,857.21, 366,914.50 and 151,153.16

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Solution

The fourth proportional to 265,857.21, 366,914.50 and 151,153.16 is: 208,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,857.21 : 366,914.50 = 151,153.16 : x
  2. Step 2: Convert to fraction form
    265,857.21/366,914.50 = 151,153.16/x
  3. Step 3: Cross multiply
    265,857.21x = 366,914.50 × 151,153.16
  4. Step 4: Simplify right side
    265,857.21x = 55,460,283,912.36
  5. Step 5: Solve for x
    x = 55,460,283,912.36/265,857.21
  6. Step 6: Final answer
    x = 208,609.29

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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.