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Finding the Fourth Proportional to 146,157, 201,696.84 and 79,089

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Solution

The fourth proportional to 146,157, 201,696.84 and 79,089 is: 109,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,157 : 201,696.84 = 79,089 : x
  2. Step 2: Convert to fraction form
    146,157/201,696.84 = 79,089/x
  3. Step 3: Cross multiply
    146,157x = 201,696.84 × 79,089
  4. Step 4: Simplify right side
    146,157x = 15,952,001,378.76
  5. Step 5: Solve for x
    x = 15,952,001,378.76/146,157
  6. Step 6: Final answer
    x = 109,142.92

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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.