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Finding the Fourth Proportional to 180,464.94, 271,188.12 and 96,284.58

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Solution

The fourth proportional to 180,464.94, 271,188.12 and 96,284.58 is: 144,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,464.94 : 271,188.12 = 96,284.58 : x
  2. Step 2: Convert to fraction form
    180,464.94/271,188.12 = 96,284.58/x
  3. Step 3: Cross multiply
    180,464.94x = 271,188.12 × 96,284.58
  4. Step 4: Simplify right side
    180,464.94x = 26,111,233,579.30
  5. Step 5: Solve for x
    x = 26,111,233,579.30/180,464.94
  6. Step 6: Final answer
    x = 144,688.68

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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.