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Finding the Fourth Proportional to 157,665.58, 217,815.46 and 103,346.69

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Solution

The fourth proportional to 157,665.58, 217,815.46 and 103,346.69 is: 142,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,665.58 : 217,815.46 = 103,346.69 : x
  2. Step 2: Convert to fraction form
    157,665.58/217,815.46 = 103,346.69/x
  3. Step 3: Cross multiply
    157,665.58x = 217,815.46 × 103,346.69
  4. Step 4: Simplify right side
    157,665.58x = 22,510,505,474.38
  5. Step 5: Solve for x
    x = 22,510,505,474.38/157,665.58
  6. Step 6: Final answer
    x = 142,773.75

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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.