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Finding the Fourth Proportional to 192,577.20, 288,865.80 and 99,265.20

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Solution

The fourth proportional to 192,577.20, 288,865.80 and 99,265.20 is: 148,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,577.20 : 288,865.80 = 99,265.20 : x
  2. Step 2: Convert to fraction form
    192,577.20/288,865.80 = 99,265.20/x
  3. Step 3: Cross multiply
    192,577.20x = 288,865.80 × 99,265.20
  4. Step 4: Simplify right side
    192,577.20x = 28,674,321,410.16
  5. Step 5: Solve for x
    x = 28,674,321,410.16/192,577.20
  6. Step 6: Final answer
    x = 148,897.80

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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.