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Finding the Fourth Proportional to 165,156.64, 227,919.16 and 93,551.53

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Solution

The fourth proportional to 165,156.64, 227,919.16 and 93,551.53 is: 129,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,156.64 : 227,919.16 = 93,551.53 : x
  2. Step 2: Convert to fraction form
    165,156.64/227,919.16 = 93,551.53/x
  3. Step 3: Cross multiply
    165,156.64x = 227,919.16 × 93,551.53
  4. Step 4: Simplify right side
    165,156.64x = 21,322,184,994.72
  5. Step 5: Solve for x
    x = 21,322,184,994.72/165,156.64
  6. Step 6: Final answer
    x = 129,102.81

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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.