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Finding the Fourth Proportional to 264,426, 364,907.88 and 145,194

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Solution

The fourth proportional to 264,426, 364,907.88 and 145,194 is: 200,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,426 : 364,907.88 = 145,194 : x
  2. Step 2: Convert to fraction form
    264,426/364,907.88 = 145,194/x
  3. Step 3: Cross multiply
    264,426x = 364,907.88 × 145,194
  4. Step 4: Simplify right side
    264,426x = 52,982,434,728.72
  5. Step 5: Solve for x
    x = 52,982,434,728.72/264,426
  6. Step 6: Final answer
    x = 200,367.72

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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.