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Finding the Fourth Proportional to 295,651.68, 443,428.92 and 85,233.12

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Solution

The fourth proportional to 295,651.68, 443,428.92 and 85,233.12 is: 127,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,651.68 : 443,428.92 = 85,233.12 : x
  2. Step 2: Convert to fraction form
    295,651.68/443,428.92 = 85,233.12/x
  3. Step 3: Cross multiply
    295,651.68x = 443,428.92 × 85,233.12
  4. Step 4: Simplify right side
    295,651.68x = 37,794,830,349.83
  5. Step 5: Solve for x
    x = 37,794,830,349.83/295,651.68
  6. Step 6: Final answer
    x = 127,835.67

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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.