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Finding the Fourth Proportional to 164,858.49, 245,806.24 and 150,783.39

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Solution

The fourth proportional to 164,858.49, 245,806.24 and 150,783.39 is: 224,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,858.49 : 245,806.24 = 150,783.39 : x
  2. Step 2: Convert to fraction form
    164,858.49/245,806.24 = 150,783.39/x
  3. Step 3: Cross multiply
    164,858.49x = 245,806.24 × 150,783.39
  4. Step 4: Simplify right side
    164,858.49x = 37,063,498,150.35
  5. Step 5: Solve for x
    x = 37,063,498,150.35/164,858.49
  6. Step 6: Final answer
    x = 224,820.08

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Why These Related Problems?

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