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Finding the Fourth Proportional to 156,632.60, 235,021.80 and 81,837.20

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Solution

The fourth proportional to 156,632.60, 235,021.80 and 81,837.20 is: 122,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,632.60 : 235,021.80 = 81,837.20 : x
  2. Step 2: Convert to fraction form
    156,632.60/235,021.80 = 81,837.20/x
  3. Step 3: Cross multiply
    156,632.60x = 235,021.80 × 81,837.20
  4. Step 4: Simplify right side
    156,632.60x = 19,233,526,050.96
  5. Step 5: Solve for x
    x = 19,233,526,050.96/156,632.60
  6. Step 6: Final answer
    x = 122,793.89

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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.