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Finding the Fourth Proportional to 130,181, 195,290.96 and 47,094.44

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Solution

The fourth proportional to 130,181, 195,290.96 and 47,094.44 is: 70,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,181 : 195,290.96 = 47,094.44 : x
  2. Step 2: Convert to fraction form
    130,181/195,290.96 = 47,094.44/x
  3. Step 3: Cross multiply
    130,181x = 195,290.96 × 47,094.44
  4. Step 4: Simplify right side
    130,181x = 9,197,118,398.26
  5. Step 5: Solve for x
    x = 9,197,118,398.26/130,181
  6. Step 6: Final answer
    x = 70,648.70

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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.