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Finding the Fourth Proportional to 117,096.54, 161,596.36 and 71,140.54

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Solution

The fourth proportional to 117,096.54, 161,596.36 and 71,140.54 is: 98,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,096.54 : 161,596.36 = 71,140.54 : x
  2. Step 2: Convert to fraction form
    117,096.54/161,596.36 = 71,140.54/x
  3. Step 3: Cross multiply
    117,096.54x = 161,596.36 × 71,140.54
  4. Step 4: Simplify right side
    117,096.54x = 11,496,051,504.45
  5. Step 5: Solve for x
    x = 11,496,051,504.45/117,096.54
  6. Step 6: Final answer
    x = 98,175.85

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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.