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Finding the Fourth Proportional to 194,780.28, 268,796.26 and 105,356.28

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Solution

The fourth proportional to 194,780.28, 268,796.26 and 105,356.28 is: 145,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,780.28 : 268,796.26 = 105,356.28 : x
  2. Step 2: Convert to fraction form
    194,780.28/268,796.26 = 105,356.28/x
  3. Step 3: Cross multiply
    194,780.28x = 268,796.26 × 105,356.28
  4. Step 4: Simplify right side
    194,780.28x = 28,319,374,031.51
  5. Step 5: Solve for x
    x = 28,319,374,031.51/194,780.28
  6. Step 6: Final answer
    x = 145,391.38

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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.