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Finding the Fourth Proportional to 130,408.32, 195,495.12 and 47,244

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Solution

The fourth proportional to 130,408.32, 195,495.12 and 47,244 is: 70,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,408.32 : 195,495.12 = 47,244 : x
  2. Step 2: Convert to fraction form
    130,408.32/195,495.12 = 47,244/x
  3. Step 3: Cross multiply
    130,408.32x = 195,495.12 × 47,244
  4. Step 4: Simplify right side
    130,408.32x = 9,235,971,449.28
  5. Step 5: Solve for x
    x = 9,235,971,449.28/130,408.32
  6. Step 6: Final answer
    x = 70,823.48

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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.