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Finding the Fourth Proportional to 195,531.60, 292,422.60 and 164,038.80

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Solution

The fourth proportional to 195,531.60, 292,422.60 and 164,038.80 is: 245,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,531.60 : 292,422.60 = 164,038.80 : x
  2. Step 2: Convert to fraction form
    195,531.60/292,422.60 = 164,038.80/x
  3. Step 3: Cross multiply
    195,531.60x = 292,422.60 × 164,038.80
  4. Step 4: Simplify right side
    195,531.60x = 47,968,652,396.88
  5. Step 5: Solve for x
    x = 47,968,652,396.88/195,531.60
  6. Step 6: Final answer
    x = 245,324.30

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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.