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Finding the Fourth Proportional to 157,181.42, 216,497.16 and 120,813.32

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Solution

The fourth proportional to 157,181.42, 216,497.16 and 120,813.32 is: 166,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,181.42 : 216,497.16 = 120,813.32 : x
  2. Step 2: Convert to fraction form
    157,181.42/216,497.16 = 120,813.32/x
  3. Step 3: Cross multiply
    157,181.42x = 216,497.16 × 120,813.32
  4. Step 4: Simplify right side
    157,181.42x = 26,155,741,211.41
  5. Step 5: Solve for x
    x = 26,155,741,211.41/157,181.42
  6. Step 6: Final answer
    x = 166,404.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.