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Finding the Fourth Proportional to 180,946.60, 271,421.85 and 54,587.94

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Solution

The fourth proportional to 180,946.60, 271,421.85 and 54,587.94 is: 81,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,946.60 : 271,421.85 = 54,587.94 : x
  2. Step 2: Convert to fraction form
    180,946.60/271,421.85 = 54,587.94/x
  3. Step 3: Cross multiply
    180,946.60x = 271,421.85 × 54,587.94
  4. Step 4: Simplify right side
    180,946.60x = 14,816,359,662.49
  5. Step 5: Solve for x
    x = 14,816,359,662.49/180,946.60
  6. Step 6: Final answer
    x = 81,882.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.