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Finding the Fourth Proportional to 169,514.48, 254,283.88 and 44,854

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Solution

The fourth proportional to 169,514.48, 254,283.88 and 44,854 is: 67,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,514.48 : 254,283.88 = 44,854 : x
  2. Step 2: Convert to fraction form
    169,514.48/254,283.88 = 44,854/x
  3. Step 3: Cross multiply
    169,514.48x = 254,283.88 × 44,854
  4. Step 4: Simplify right side
    169,514.48x = 11,405,649,153.52
  5. Step 5: Solve for x
    x = 11,405,649,153.52/169,514.48
  6. Step 6: Final answer
    x = 67,284.22

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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.