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Finding the Fourth Proportional to 265,441, 366,308.60 and 146,209

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Solution

The fourth proportional to 265,441, 366,308.60 and 146,209 is: 201,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,441 : 366,308.60 = 146,209 : x
  2. Step 2: Convert to fraction form
    265,441/366,308.60 = 146,209/x
  3. Step 3: Cross multiply
    265,441x = 366,308.60 × 146,209
  4. Step 4: Simplify right side
    265,441x = 53,557,614,097.40
  5. Step 5: Solve for x
    x = 53,557,614,097.40/265,441
  6. Step 6: Final answer
    x = 201,768.43

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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.