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Finding the Fourth Proportional to 295,941.01, 443,716.50 and 106,306.24

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Solution

The fourth proportional to 295,941.01, 443,716.50 and 106,306.24 is: 159,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,941.01 : 443,716.50 = 106,306.24 : x
  2. Step 2: Convert to fraction form
    295,941.01/443,716.50 = 106,306.24/x
  3. Step 3: Cross multiply
    295,941.01x = 443,716.50 × 106,306.24
  4. Step 4: Simplify right side
    295,941.01x = 47,169,832,740.96
  5. Step 5: Solve for x
    x = 47,169,832,740.96/295,941.01
  6. Step 6: Final answer
    x = 159,389.31

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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.