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Finding the Fourth Proportional to 265,896.63, 366,938.46 and 145,040.49

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Solution

The fourth proportional to 265,896.63, 366,938.46 and 145,040.49 is: 200,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,896.63 : 366,938.46 = 145,040.49 : x
  2. Step 2: Convert to fraction form
    265,896.63/366,938.46 = 145,040.49/x
  3. Step 3: Cross multiply
    265,896.63x = 366,938.46 × 145,040.49
  4. Step 4: Simplify right side
    265,896.63x = 53,220,934,038.25
  5. Step 5: Solve for x
    x = 53,220,934,038.25/265,896.63
  6. Step 6: Final answer
    x = 200,156.48

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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.