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Finding the Fourth Proportional to 259,746.60, 389,632.70 and 135,330.60

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Solution

The fourth proportional to 259,746.60, 389,632.70 and 135,330.60 is: 203,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,746.60 : 389,632.70 = 135,330.60 : x
  2. Step 2: Convert to fraction form
    259,746.60/389,632.70 = 135,330.60/x
  3. Step 3: Cross multiply
    259,746.60x = 389,632.70 × 135,330.60
  4. Step 4: Simplify right side
    259,746.60x = 52,729,227,070.62
  5. Step 5: Solve for x
    x = 52,729,227,070.62/259,746.60
  6. Step 6: Final answer
    x = 203,002.57

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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.