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Finding the Fourth Proportional to 136,039, 204,070.26 and 37,543

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Solution

The fourth proportional to 136,039, 204,070.26 and 37,543 is: 56,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,039 : 204,070.26 = 37,543 : x
  2. Step 2: Convert to fraction form
    136,039/204,070.26 = 37,543/x
  3. Step 3: Cross multiply
    136,039x = 204,070.26 × 37,543
  4. Step 4: Simplify right side
    136,039x = 7,661,409,771.18
  5. Step 5: Solve for x
    x = 7,661,409,771.18/136,039
  6. Step 6: Final answer
    x = 56,317.75

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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.