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Finding the Fourth Proportional to 265,589.85, 366,514.01 and 144,731.10

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Solution

The fourth proportional to 265,589.85, 366,514.01 and 144,731.10 is: 199,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,589.85 : 366,514.01 = 144,731.10 : x
  2. Step 2: Convert to fraction form
    265,589.85/366,514.01 = 144,731.10/x
  3. Step 3: Cross multiply
    265,589.85x = 366,514.01 × 144,731.10
  4. Step 4: Simplify right side
    265,589.85x = 53,045,975,109.06
  5. Step 5: Solve for x
    x = 53,045,975,109.06/265,589.85
  6. Step 6: Final answer
    x = 199,728.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.