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Finding the Fourth Proportional to 130,209, 195,333 and 47,122.44

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Solution

The fourth proportional to 130,209, 195,333 and 47,122.44 is: 70,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,209 : 195,333 = 47,122.44 : x
  2. Step 2: Convert to fraction form
    130,209/195,333 = 47,122.44/x
  3. Step 3: Cross multiply
    130,209x = 195,333 × 47,122.44
  4. Step 4: Simplify right side
    130,209x = 9,204,567,572.52
  5. Step 5: Solve for x
    x = 9,204,567,572.52/130,209
  6. Step 6: Final answer
    x = 70,690.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.