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Finding the Fourth Proportional to 207,968.69, 287,032.10 and 117,350.34

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Solution

The fourth proportional to 207,968.69, 287,032.10 and 117,350.34 is: 161,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,968.69 : 287,032.10 = 117,350.34 : x
  2. Step 2: Convert to fraction form
    207,968.69/287,032.10 = 117,350.34/x
  3. Step 3: Cross multiply
    207,968.69x = 287,032.10 × 117,350.34
  4. Step 4: Simplify right side
    207,968.69x = 33,683,313,939.16
  5. Step 5: Solve for x
    x = 33,683,313,939.16/207,968.69
  6. Step 6: Final answer
    x = 161,963.39

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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.