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Finding the Fourth Proportional to 192,938.40, 289,407.60 and 162,525.60

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Solution

The fourth proportional to 192,938.40, 289,407.60 and 162,525.60 is: 243,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,938.40 : 289,407.60 = 162,525.60 : x
  2. Step 2: Convert to fraction form
    192,938.40/289,407.60 = 162,525.60/x
  3. Step 3: Cross multiply
    192,938.40x = 289,407.60 × 162,525.60
  4. Step 4: Simplify right side
    192,938.40x = 47,036,143,834.56
  5. Step 5: Solve for x
    x = 47,036,143,834.56/192,938.40
  6. Step 6: Final answer
    x = 243,788.40

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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.