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Finding the Fourth Proportional to 257,992.46, 386,768.12 and 97,978.82

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Solution

The fourth proportional to 257,992.46, 386,768.12 and 97,978.82 is: 146,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,992.46 : 386,768.12 = 97,978.82 : x
  2. Step 2: Convert to fraction form
    257,992.46/386,768.12 = 97,978.82/x
  3. Step 3: Cross multiply
    257,992.46x = 386,768.12 × 97,978.82
  4. Step 4: Simplify right side
    257,992.46x = 37,895,084,011.22
  5. Step 5: Solve for x
    x = 37,895,084,011.22/257,992.46
  6. Step 6: Final answer
    x = 146,884.46

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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.