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Finding the Fourth Proportional to 192,164.12, 288,242.16 and 64,089.64

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Solution

The fourth proportional to 192,164.12, 288,242.16 and 64,089.64 is: 96,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,164.12 : 288,242.16 = 64,089.64 : x
  2. Step 2: Convert to fraction form
    192,164.12/288,242.16 = 64,089.64/x
  3. Step 3: Cross multiply
    192,164.12x = 288,242.16 × 64,089.64
  4. Step 4: Simplify right side
    192,164.12x = 18,473,336,267.22
  5. Step 5: Solve for x
    x = 18,473,336,267.22/192,164.12
  6. Step 6: Final answer
    x = 96,133.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.