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Finding the Fourth Proportional to 182,797.76, 252,203.52 and 102,214.40

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Solution

The fourth proportional to 182,797.76, 252,203.52 and 102,214.40 is: 141,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,797.76 : 252,203.52 = 102,214.40 : x
  2. Step 2: Convert to fraction form
    182,797.76/252,203.52 = 102,214.40/x
  3. Step 3: Cross multiply
    182,797.76x = 252,203.52 × 102,214.40
  4. Step 4: Simplify right side
    182,797.76x = 25,778,831,474.69
  5. Step 5: Solve for x
    x = 25,778,831,474.69/182,797.76
  6. Step 6: Final answer
    x = 141,023.78

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1.5x scale

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.