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Finding the Fourth Proportional to 194,978.80, 292,468.20 and 182,148.40

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Solution

The fourth proportional to 194,978.80, 292,468.20 and 182,148.40 is: 273,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,978.80 : 292,468.20 = 182,148.40 : x
  2. Step 2: Convert to fraction form
    194,978.80/292,468.20 = 182,148.40/x
  3. Step 3: Cross multiply
    194,978.80x = 292,468.20 × 182,148.40
  4. Step 4: Simplify right side
    194,978.80x = 53,272,614,680.88
  5. Step 5: Solve for x
    x = 53,272,614,680.88/194,978.80
  6. Step 6: Final answer
    x = 273,222.60

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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.