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Finding the Fourth Proportional to 207,946.38, 287,043.76 and 161,915.02

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Solution

The fourth proportional to 207,946.38, 287,043.76 and 161,915.02 is: 223,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,946.38 : 287,043.76 = 161,915.02 : x
  2. Step 2: Convert to fraction form
    207,946.38/287,043.76 = 161,915.02/x
  3. Step 3: Cross multiply
    207,946.38x = 287,043.76 × 161,915.02
  4. Step 4: Simplify right side
    207,946.38x = 46,476,696,141.28
  5. Step 5: Solve for x
    x = 46,476,696,141.28/207,946.38
  6. Step 6: Final answer
    x = 223,503.27

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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.