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Finding the Fourth Proportional to 152,708.64, 228,952.20 and 102,664.68

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Solution

The fourth proportional to 152,708.64, 228,952.20 and 102,664.68 is: 153,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,708.64 : 228,952.20 = 102,664.68 : x
  2. Step 2: Convert to fraction form
    152,708.64/228,952.20 = 102,664.68/x
  3. Step 3: Cross multiply
    152,708.64x = 228,952.20 × 102,664.68
  4. Step 4: Simplify right side
    152,708.64x = 23,505,304,348.30
  5. Step 5: Solve for x
    x = 23,505,304,348.30/152,708.64
  6. Step 6: Final answer
    x = 153,922.56

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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.