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Finding the Fourth Proportional to 121,106.20, 181,659.30 and 38,000.20

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Solution

The fourth proportional to 121,106.20, 181,659.30 and 38,000.20 is: 57,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,106.20 : 181,659.30 = 38,000.20 : x
  2. Step 2: Convert to fraction form
    121,106.20/181,659.30 = 38,000.20/x
  3. Step 3: Cross multiply
    121,106.20x = 181,659.30 × 38,000.20
  4. Step 4: Simplify right side
    121,106.20x = 6,903,089,731.86
  5. Step 5: Solve for x
    x = 6,903,089,731.86/121,106.20
  6. Step 6: Final answer
    x = 57,000.30

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