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Finding the Fourth Proportional to 180,750.75, 271,288.74 and 96,582.86

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Solution

The fourth proportional to 180,750.75, 271,288.74 and 96,582.86 is: 144,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,750.75 : 271,288.74 = 96,582.86 : x
  2. Step 2: Convert to fraction form
    180,750.75/271,288.74 = 96,582.86/x
  3. Step 3: Cross multiply
    180,750.75x = 271,288.74 × 96,582.86
  4. Step 4: Simplify right side
    180,750.75x = 26,201,842,395.00
  5. Step 5: Solve for x
    x = 26,201,842,395.00/180,750.75
  6. Step 6: Final answer
    x = 144,961.18

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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.