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Finding the Fourth Proportional to 194,911.77, 268,978.28 and 105,487.77

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Solution

The fourth proportional to 194,911.77, 268,978.28 and 105,487.77 is: 145,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,911.77 : 268,978.28 = 105,487.77 : x
  2. Step 2: Convert to fraction form
    194,911.77/268,978.28 = 105,487.77/x
  3. Step 3: Cross multiply
    194,911.77x = 268,978.28 × 105,487.77
  4. Step 4: Simplify right side
    194,911.77x = 28,373,918,408.20
  5. Step 5: Solve for x
    x = 28,373,918,408.20/194,911.77
  6. Step 6: Final answer
    x = 145,573.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.