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Finding the Fourth Proportional to 295,661.80, 443,406.30 and 106,100.20

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Solution

The fourth proportional to 295,661.80, 443,406.30 and 106,100.20 is: 159,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,661.80 : 443,406.30 = 106,100.20 : x
  2. Step 2: Convert to fraction form
    295,661.80/443,406.30 = 106,100.20/x
  3. Step 3: Cross multiply
    295,661.80x = 443,406.30 × 106,100.20
  4. Step 4: Simplify right side
    295,661.80x = 47,045,497,111.26
  5. Step 5: Solve for x
    x = 47,045,497,111.26/295,661.80
  6. Step 6: Final answer
    x = 159,119.29

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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.