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Finding the Fourth Proportional to 265,368.36, 366,204.70 and 150,646

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Solution

The fourth proportional to 265,368.36, 366,204.70 and 150,646 is: 207,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,368.36 : 366,204.70 = 150,646 : x
  2. Step 2: Convert to fraction form
    265,368.36/366,204.70 = 150,646/x
  3. Step 3: Cross multiply
    265,368.36x = 366,204.70 × 150,646
  4. Step 4: Simplify right side
    265,368.36x = 55,167,273,236.20
  5. Step 5: Solve for x
    x = 55,167,273,236.20/265,368.36
  6. Step 6: Final answer
    x = 207,889.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.