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Finding the Fourth Proportional to 264,422, 364,902.36 and 145,190

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Solution

The fourth proportional to 264,422, 364,902.36 and 145,190 is: 200,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,422 : 364,902.36 = 145,190 : x
  2. Step 2: Convert to fraction form
    264,422/364,902.36 = 145,190/x
  3. Step 3: Cross multiply
    264,422x = 364,902.36 × 145,190
  4. Step 4: Simplify right side
    264,422x = 52,980,173,648.40
  5. Step 5: Solve for x
    x = 52,980,173,648.40/264,422
  6. Step 6: Final answer
    x = 200,362.20

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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.