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Finding the Fourth Proportional to 135,930.40, 203,492.40 and 101,024.80

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Solution

The fourth proportional to 135,930.40, 203,492.40 and 101,024.80 is: 151,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,930.40 : 203,492.40 = 101,024.80 : x
  2. Step 2: Convert to fraction form
    135,930.40/203,492.40 = 101,024.80/x
  3. Step 3: Cross multiply
    135,930.40x = 203,492.40 × 101,024.80
  4. Step 4: Simplify right side
    135,930.40x = 20,557,779,011.52
  5. Step 5: Solve for x
    x = 20,557,779,011.52/135,930.40
  6. Step 6: Final answer
    x = 151,237.54

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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.