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Finding the Fourth Proportional to 146,165, 201,707.70 and 79,097

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Solution

The fourth proportional to 146,165, 201,707.70 and 79,097 is: 109,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,165 : 201,707.70 = 79,097 : x
  2. Step 2: Convert to fraction form
    146,165/201,707.70 = 79,097/x
  3. Step 3: Cross multiply
    146,165x = 201,707.70 × 79,097
  4. Step 4: Simplify right side
    146,165x = 15,954,473,946.90
  5. Step 5: Solve for x
    x = 15,954,473,946.90/146,165
  6. Step 6: Final answer
    x = 109,153.86

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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.