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Finding the Fourth Proportional to 192,038.20, 287,711.70 and 164,390.20

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Solution

The fourth proportional to 192,038.20, 287,711.70 and 164,390.20 is: 246,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,038.20 : 287,711.70 = 164,390.20 : x
  2. Step 2: Convert to fraction form
    192,038.20/287,711.70 = 164,390.20/x
  3. Step 3: Cross multiply
    192,038.20x = 287,711.70 × 164,390.20
  4. Step 4: Simplify right side
    192,038.20x = 47,296,983,905.34
  5. Step 5: Solve for x
    x = 47,296,983,905.34/192,038.20
  6. Step 6: Final answer
    x = 246,289.46

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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.