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Finding the Fourth Proportional to 295,843.16, 443,763.12 and 118,391.24

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Solution

The fourth proportional to 295,843.16, 443,763.12 and 118,391.24 is: 177,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,843.16 : 443,763.12 = 118,391.24 : x
  2. Step 2: Convert to fraction form
    295,843.16/443,763.12 = 118,391.24/x
  3. Step 3: Cross multiply
    295,843.16x = 443,763.12 × 118,391.24
  4. Step 4: Simplify right side
    295,843.16x = 52,537,666,043.07
  5. Step 5: Solve for x
    x = 52,537,666,043.07/295,843.16
  6. Step 6: Final answer
    x = 177,586.21

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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.