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Finding the Fourth Proportional to 192,433.40, 288,212.70 and 98,829.80

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Solution

The fourth proportional to 192,433.40, 288,212.70 and 98,829.80 is: 148,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,433.40 : 288,212.70 = 98,829.80 : x
  2. Step 2: Convert to fraction form
    192,433.40/288,212.70 = 98,829.80/x
  3. Step 3: Cross multiply
    192,433.40x = 288,212.70 × 98,829.80
  4. Step 4: Simplify right side
    192,433.40x = 28,484,003,498.46
  5. Step 5: Solve for x
    x = 28,484,003,498.46/192,433.40
  6. Step 6: Final answer
    x = 148,020.06

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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.