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Finding the Fourth Proportional to 192,178.65, 288,238.40 and 64,097.19

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Solution

The fourth proportional to 192,178.65, 288,238.40 and 64,097.19 is: 96,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,178.65 : 288,238.40 = 64,097.19 : x
  2. Step 2: Convert to fraction form
    192,178.65/288,238.40 = 64,097.19/x
  3. Step 3: Cross multiply
    192,178.65x = 288,238.40 × 64,097.19
  4. Step 4: Simplify right side
    192,178.65x = 18,475,271,490.10
  5. Step 5: Solve for x
    x = 18,475,271,490.10/192,178.65
  6. Step 6: Final answer
    x = 96,135.92

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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.