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Finding the Fourth Proportional to 169,441.66, 254,164.31 and 51,114.02

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Solution

The fourth proportional to 169,441.66, 254,164.31 and 51,114.02 is: 76,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,441.66 : 254,164.31 = 51,114.02 : x
  2. Step 2: Convert to fraction form
    169,441.66/254,164.31 = 51,114.02/x
  3. Step 3: Cross multiply
    169,441.66x = 254,164.31 × 51,114.02
  4. Step 4: Simplify right side
    169,441.66x = 12,991,360,007.10
  5. Step 5: Solve for x
    x = 12,991,360,007.10/169,441.66
  6. Step 6: Final answer
    x = 76,671.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.