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Finding the Fourth Proportional to 264,200.90, 364,796.86 and 162,366.88

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Solution

The fourth proportional to 264,200.90, 364,796.86 and 162,366.88 is: 224,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,200.90 : 364,796.86 = 162,366.88 : x
  2. Step 2: Convert to fraction form
    264,200.90/364,796.86 = 162,366.88/x
  3. Step 3: Cross multiply
    264,200.90x = 364,796.86 × 162,366.88
  4. Step 4: Simplify right side
    264,200.90x = 59,230,927,992.00
  5. Step 5: Solve for x
    x = 59,230,927,992.00/264,200.90
  6. Step 6: Final answer
    x = 224,188.97

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1.5x scale

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.