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Finding the Fourth Proportional to 130,014.60, 195,021.90 and 103,770.60

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Solution

The fourth proportional to 130,014.60, 195,021.90 and 103,770.60 is: 155,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,014.60 : 195,021.90 = 103,770.60 : x
  2. Step 2: Convert to fraction form
    130,014.60/195,021.90 = 103,770.60/x
  3. Step 3: Cross multiply
    130,014.60x = 195,021.90 × 103,770.60
  4. Step 4: Simplify right side
    130,014.60x = 20,237,539,576.14
  5. Step 5: Solve for x
    x = 20,237,539,576.14/130,014.60
  6. Step 6: Final answer
    x = 155,655.90

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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.