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Finding the Fourth Proportional to 117,430, 176,170.96 and 43,558

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Solution

The fourth proportional to 117,430, 176,170.96 and 43,558 is: 65,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,430 : 176,170.96 = 43,558 : x
  2. Step 2: Convert to fraction form
    117,430/176,170.96 = 43,558/x
  3. Step 3: Cross multiply
    117,430x = 176,170.96 × 43,558
  4. Step 4: Simplify right side
    117,430x = 7,673,654,675.68
  5. Step 5: Solve for x
    x = 7,673,654,675.68/117,430
  6. Step 6: Final answer
    x = 65,346.63

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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.