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Finding the Fourth Proportional to 295,582.80, 443,287.80 and 106,021.20

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Solution

The fourth proportional to 295,582.80, 443,287.80 and 106,021.20 is: 159,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,582.80 : 443,287.80 = 106,021.20 : x
  2. Step 2: Convert to fraction form
    295,582.80/443,287.80 = 106,021.20/x
  3. Step 3: Cross multiply
    295,582.80x = 443,287.80 × 106,021.20
  4. Step 4: Simplify right side
    295,582.80x = 46,997,904,501.36
  5. Step 5: Solve for x
    x = 46,997,904,501.36/295,582.80
  6. Step 6: Final answer
    x = 159,000.81

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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.