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Finding the Fourth Proportional to 265,249, 366,043.62 and 146,017

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Solution

The fourth proportional to 265,249, 366,043.62 and 146,017 is: 201,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,249 : 366,043.62 = 146,017 : x
  2. Step 2: Convert to fraction form
    265,249/366,043.62 = 146,017/x
  3. Step 3: Cross multiply
    265,249x = 366,043.62 × 146,017
  4. Step 4: Simplify right side
    265,249x = 53,448,591,261.54
  5. Step 5: Solve for x
    x = 53,448,591,261.54/265,249
  6. Step 6: Final answer
    x = 201,503.46

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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.