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Finding the Fourth Proportional to 192,034.20, 287,705.70 and 164,386.20

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Solution

The fourth proportional to 192,034.20, 287,705.70 and 164,386.20 is: 246,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,034.20 : 287,705.70 = 164,386.20 : x
  2. Step 2: Convert to fraction form
    192,034.20/287,705.70 = 164,386.20/x
  3. Step 3: Cross multiply
    192,034.20x = 287,705.70 × 164,386.20
  4. Step 4: Simplify right side
    192,034.20x = 47,294,846,741.34
  5. Step 5: Solve for x
    x = 47,294,846,741.34/192,034.20
  6. Step 6: Final answer
    x = 246,283.46

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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.