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Finding the Fourth Proportional to 166,696.96, 230,006.28 and 98,735.20

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Solution

The fourth proportional to 166,696.96, 230,006.28 and 98,735.20 is: 136,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,696.96 : 230,006.28 = 98,735.20 : x
  2. Step 2: Convert to fraction form
    166,696.96/230,006.28 = 98,735.20/x
  3. Step 3: Cross multiply
    166,696.96x = 230,006.28 × 98,735.20
  4. Step 4: Simplify right side
    166,696.96x = 22,709,716,057.06
  5. Step 5: Solve for x
    x = 22,709,716,057.06/166,696.96
  6. Step 6: Final answer
    x = 136,233.53

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1.5x scale

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.