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Finding the Fourth Proportional to 265,912.68, 366,966.42 and 145,056

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Solution

The fourth proportional to 265,912.68, 366,966.42 and 145,056 is: 200,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,912.68 : 366,966.42 = 145,056 : x
  2. Step 2: Convert to fraction form
    265,912.68/366,966.42 = 145,056/x
  3. Step 3: Cross multiply
    265,912.68x = 366,966.42 × 145,056
  4. Step 4: Simplify right side
    265,912.68x = 53,230,681,019.52
  5. Step 5: Solve for x
    x = 53,230,681,019.52/265,912.68
  6. Step 6: Final answer
    x = 200,181.06

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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.