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Finding the Fourth Proportional to 169,513.48, 254,282.38 and 44,853

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Solution

The fourth proportional to 169,513.48, 254,282.38 and 44,853 is: 67,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,513.48 : 254,282.38 = 44,853 : x
  2. Step 2: Convert to fraction form
    169,513.48/254,282.38 = 44,853/x
  3. Step 3: Cross multiply
    169,513.48x = 254,282.38 × 44,853
  4. Step 4: Simplify right side
    169,513.48x = 11,405,327,590.14
  5. Step 5: Solve for x
    x = 11,405,327,590.14/169,513.48
  6. Step 6: Final answer
    x = 67,282.72

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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.