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Finding the Fourth Proportional to 295,687.30, 443,421.60 and 96,014.20

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Solution

The fourth proportional to 295,687.30, 443,421.60 and 96,014.20 is: 143,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,687.30 : 443,421.60 = 96,014.20 : x
  2. Step 2: Convert to fraction form
    295,687.30/443,421.60 = 96,014.20/x
  3. Step 3: Cross multiply
    295,687.30x = 443,421.60 × 96,014.20
  4. Step 4: Simplify right side
    295,687.30x = 42,574,770,186.72
  5. Step 5: Solve for x
    x = 42,574,770,186.72/295,687.30
  6. Step 6: Final answer
    x = 143,985.79

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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.