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Finding the Fourth Proportional to 136,029.36, 204,009.48 and 52,878

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Solution

The fourth proportional to 136,029.36, 204,009.48 and 52,878 is: 79,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,029.36 : 204,009.48 = 52,878 : x
  2. Step 2: Convert to fraction form
    136,029.36/204,009.48 = 52,878/x
  3. Step 3: Cross multiply
    136,029.36x = 204,009.48 × 52,878
  4. Step 4: Simplify right side
    136,029.36x = 10,787,613,283.44
  5. Step 5: Solve for x
    x = 10,787,613,283.44/136,029.36
  6. Step 6: Final answer
    x = 79,303.57

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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.