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Finding the Fourth Proportional to 180,946.80, 271,679.40 and 102,214.80

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Solution

The fourth proportional to 180,946.80, 271,679.40 and 102,214.80 is: 153,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,946.80 : 271,679.40 = 102,214.80 : x
  2. Step 2: Convert to fraction form
    180,946.80/271,679.40 = 102,214.80/x
  3. Step 3: Cross multiply
    180,946.80x = 271,679.40 × 102,214.80
  4. Step 4: Simplify right side
    180,946.80x = 27,769,655,535.12
  5. Step 5: Solve for x
    x = 27,769,655,535.12/180,946.80
  6. Step 6: Final answer
    x = 153,468.62

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1.5x scale

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.