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Finding the Fourth Proportional to 164,857.49, 245,804.75 and 150,782.39

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Solution

The fourth proportional to 164,857.49, 245,804.75 and 150,782.39 is: 224,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,857.49 : 245,804.75 = 150,782.39 : x
  2. Step 2: Convert to fraction form
    164,857.49/245,804.75 = 150,782.39/x
  3. Step 3: Cross multiply
    164,857.49x = 245,804.75 × 150,782.39
  4. Step 4: Simplify right side
    164,857.49x = 37,063,027,538.95
  5. Step 5: Solve for x
    x = 37,063,027,538.95/164,857.49
  6. Step 6: Final answer
    x = 224,818.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.