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Finding the Fourth Proportional to 194,902.60, 292,152.30 and 105,968.20

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Solution

The fourth proportional to 194,902.60, 292,152.30 and 105,968.20 is: 158,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,902.60 : 292,152.30 = 105,968.20 : x
  2. Step 2: Convert to fraction form
    194,902.60/292,152.30 = 105,968.20/x
  3. Step 3: Cross multiply
    194,902.60x = 292,152.30 × 105,968.20
  4. Step 4: Simplify right side
    194,902.60x = 30,958,853,356.86
  5. Step 5: Solve for x
    x = 30,958,853,356.86/194,902.60
  6. Step 6: Final answer
    x = 158,842.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.