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Finding the Fourth Proportional to 192,281.48, 288,019.92 and 154,638.08

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Solution

The fourth proportional to 192,281.48, 288,019.92 and 154,638.08 is: 231,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,281.48 : 288,019.92 = 154,638.08 : x
  2. Step 2: Convert to fraction form
    192,281.48/288,019.92 = 154,638.08/x
  3. Step 3: Cross multiply
    192,281.48x = 288,019.92 × 154,638.08
  4. Step 4: Simplify right side
    192,281.48x = 44,538,847,430.55
  5. Step 5: Solve for x
    x = 44,538,847,430.55/192,281.48
  6. Step 6: Final answer
    x = 231,633.58

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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.