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Finding the Fourth Proportional to 243,043.22, 364,217.30 and 178,495.05

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Solution

The fourth proportional to 243,043.22, 364,217.30 and 178,495.05 is: 267,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,043.22 : 364,217.30 = 178,495.05 : x
  2. Step 2: Convert to fraction form
    243,043.22/364,217.30 = 178,495.05/x
  3. Step 3: Cross multiply
    243,043.22x = 364,217.30 × 178,495.05
  4. Step 4: Simplify right side
    243,043.22x = 65,010,985,620.60
  5. Step 5: Solve for x
    x = 65,010,985,620.60/243,043.22
  6. Step 6: Final answer
    x = 267,487.35

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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.