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Finding the Fourth Proportional to 295,583.80, 443,289.30 and 106,022.20

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Solution

The fourth proportional to 295,583.80, 443,289.30 and 106,022.20 is: 159,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,583.80 : 443,289.30 = 106,022.20 : x
  2. Step 2: Convert to fraction form
    295,583.80/443,289.30 = 106,022.20/x
  3. Step 3: Cross multiply
    295,583.80x = 443,289.30 × 106,022.20
  4. Step 4: Simplify right side
    295,583.80x = 46,998,506,822.46
  5. Step 5: Solve for x
    x = 46,998,506,822.46/295,583.80
  6. Step 6: Final answer
    x = 159,002.31

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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.