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Finding the Fourth Proportional to 242,989.73, 364,189.09 and 171,932.84

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Solution

The fourth proportional to 242,989.73, 364,189.09 and 171,932.84 is: 257,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,989.73 : 364,189.09 = 171,932.84 : x
  2. Step 2: Convert to fraction form
    242,989.73/364,189.09 = 171,932.84/x
  3. Step 3: Cross multiply
    242,989.73x = 364,189.09 × 171,932.84
  4. Step 4: Simplify right side
    242,989.73x = 62,616,063,681.05
  5. Step 5: Solve for x
    x = 62,616,063,681.05/242,989.73
  6. Step 6: Final answer
    x = 257,690.17

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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.