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Finding the Fourth Proportional to 120,830.60, 181,245.90 and 32,097.80

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Solution

The fourth proportional to 120,830.60, 181,245.90 and 32,097.80 is: 48,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830.60 : 181,245.90 = 32,097.80 : x
  2. Step 2: Convert to fraction form
    120,830.60/181,245.90 = 32,097.80/x
  3. Step 3: Cross multiply
    120,830.60x = 181,245.90 × 32,097.80
  4. Step 4: Simplify right side
    120,830.60x = 5,817,594,649.02
  5. Step 5: Solve for x
    x = 5,817,594,649.02/120,830.60
  6. Step 6: Final answer
    x = 48,146.70

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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.