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Finding the Fourth Proportional to 130,247, 195,368.36 and 41,499.30

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Solution

The fourth proportional to 130,247, 195,368.36 and 41,499.30 is: 62,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,247 : 195,368.36 = 41,499.30 : x
  2. Step 2: Convert to fraction form
    130,247/195,368.36 = 41,499.30/x
  3. Step 3: Cross multiply
    130,247x = 195,368.36 × 41,499.30
  4. Step 4: Simplify right side
    130,247x = 8,107,650,182.15
  5. Step 5: Solve for x
    x = 8,107,650,182.15/130,247
  6. Step 6: Final answer
    x = 62,248.27

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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.