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Finding the Fourth Proportional to 133,902.60, 200,465.10 and 130,014.60

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Solution

The fourth proportional to 133,902.60, 200,465.10 and 130,014.60 is: 194,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,902.60 : 200,465.10 = 130,014.60 : x
  2. Step 2: Convert to fraction form
    133,902.60/200,465.10 = 130,014.60/x
  3. Step 3: Cross multiply
    133,902.60x = 200,465.10 × 130,014.60
  4. Step 4: Simplify right side
    133,902.60x = 26,063,389,790.46
  5. Step 5: Solve for x
    x = 26,063,389,790.46/133,902.60
  6. Step 6: Final answer
    x = 194,644.39

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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.