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Finding the Fourth Proportional to 197,242.63, 295,938.51 and 118,411.81

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Solution

The fourth proportional to 197,242.63, 295,938.51 and 118,411.81 is: 177,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,242.63 : 295,938.51 = 118,411.81 : x
  2. Step 2: Convert to fraction form
    197,242.63/295,938.51 = 118,411.81/x
  3. Step 3: Cross multiply
    197,242.63x = 295,938.51 × 118,411.81
  4. Step 4: Simplify right side
    197,242.63x = 35,042,614,617.80
  5. Step 5: Solve for x
    x = 35,042,614,617.80/197,242.63
  6. Step 6: Final answer
    x = 177,662.48

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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.