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Finding the Fourth Proportional to 117,955.72, 176,592.50 and 105,786.80

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Solution

The fourth proportional to 117,955.72, 176,592.50 and 105,786.80 is: 158,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,955.72 : 176,592.50 = 105,786.80 : x
  2. Step 2: Convert to fraction form
    117,955.72/176,592.50 = 105,786.80/x
  3. Step 3: Cross multiply
    117,955.72x = 176,592.50 × 105,786.80
  4. Step 4: Simplify right side
    117,955.72x = 18,681,155,479
  5. Step 5: Solve for x
    x = 18,681,155,479/117,955.72
  6. Step 6: Final answer
    x = 158,374.31

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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.