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Finding the Fourth Proportional to 150,818, 208,131.35 and 82,841.26

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Solution

The fourth proportional to 150,818, 208,131.35 and 82,841.26 is: 114,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,818 : 208,131.35 = 82,841.26 : x
  2. Step 2: Convert to fraction form
    150,818/208,131.35 = 82,841.26/x
  3. Step 3: Cross multiply
    150,818x = 208,131.35 × 82,841.26
  4. Step 4: Simplify right side
    150,818x = 17,241,863,279.50
  5. Step 5: Solve for x
    x = 17,241,863,279.50/150,818
  6. Step 6: Final answer
    x = 114,322.32

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