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Finding the Fourth Proportional to 395,097.66, 592,665.53 and 128,857.68

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Solution

The fourth proportional to 395,097.66, 592,665.53 and 128,857.68 is: 193,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,097.66 : 592,665.53 = 128,857.68 : x
  2. Step 2: Convert to fraction form
    395,097.66/592,665.53 = 128,857.68/x
  3. Step 3: Cross multiply
    395,097.66x = 592,665.53 × 128,857.68
  4. Step 4: Simplify right side
    395,097.66x = 76,369,504,567.48
  5. Step 5: Solve for x
    x = 76,369,504,567.48/395,097.66
  6. Step 6: Final answer
    x = 193,292.73

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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.