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Finding the Fourth Proportional to 207,612.34, 286,505.96 and 116,969.69

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Solution

The fourth proportional to 207,612.34, 286,505.96 and 116,969.69 is: 161,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,612.34 : 286,505.96 = 116,969.69 : x
  2. Step 2: Convert to fraction form
    207,612.34/286,505.96 = 116,969.69/x
  3. Step 3: Cross multiply
    207,612.34x = 286,505.96 × 116,969.69
  4. Step 4: Simplify right side
    207,612.34x = 33,512,513,324.35
  5. Step 5: Solve for x
    x = 33,512,513,324.35/207,612.34
  6. Step 6: Final answer
    x = 161,418.70

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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.