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Finding the Fourth Proportional to 118,506.78, 177,742.68 and 43,609.50

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Solution

The fourth proportional to 118,506.78, 177,742.68 and 43,609.50 is: 65,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,506.78 : 177,742.68 = 43,609.50 : x
  2. Step 2: Convert to fraction form
    118,506.78/177,742.68 = 43,609.50/x
  3. Step 3: Cross multiply
    118,506.78x = 177,742.68 × 43,609.50
  4. Step 4: Simplify right side
    118,506.78x = 7,751,269,403.46
  5. Step 5: Solve for x
    x = 7,751,269,403.46/118,506.78
  6. Step 6: Final answer
    x = 65,407.81

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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.