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Finding the Fourth Proportional to 130,214.44, 195,321.66 and 47,089

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Solution

The fourth proportional to 130,214.44, 195,321.66 and 47,089 is: 70,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,214.44 : 195,321.66 = 47,089 : x
  2. Step 2: Convert to fraction form
    130,214.44/195,321.66 = 47,089/x
  3. Step 3: Cross multiply
    130,214.44x = 195,321.66 × 47,089
  4. Step 4: Simplify right side
    130,214.44x = 9,197,501,647.74
  5. Step 5: Solve for x
    x = 9,197,501,647.74/130,214.44
  6. Step 6: Final answer
    x = 70,633.50

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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.