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Finding the Fourth Proportional to 130,840.40, 195,254.38 and 130,091.96

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Solution

The fourth proportional to 130,840.40, 195,254.38 and 130,091.96 is: 194,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,840.40 : 195,254.38 = 130,091.96 : x
  2. Step 2: Convert to fraction form
    130,840.40/195,254.38 = 130,091.96/x
  3. Step 3: Cross multiply
    130,840.40x = 195,254.38 × 130,091.96
  4. Step 4: Simplify right side
    130,840.40x = 25,401,024,992.78
  5. Step 5: Solve for x
    x = 25,401,024,992.78/130,840.40
  6. Step 6: Final answer
    x = 194,137.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.