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Finding the Fourth Proportional to 194,915.20, 292,372.80 and 148,259.20

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Solution

The fourth proportional to 194,915.20, 292,372.80 and 148,259.20 is: 222,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,915.20 : 292,372.80 = 148,259.20 : x
  2. Step 2: Convert to fraction form
    194,915.20/292,372.80 = 148,259.20/x
  3. Step 3: Cross multiply
    194,915.20x = 292,372.80 × 148,259.20
  4. Step 4: Simplify right side
    194,915.20x = 43,346,957,429.76
  5. Step 5: Solve for x
    x = 43,346,957,429.76/194,915.20
  6. Step 6: Final answer
    x = 222,388.80

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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.