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Finding the Fourth Proportional to 180,925.84, 271,406.04 and 81,082

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Solution

The fourth proportional to 180,925.84, 271,406.04 and 81,082 is: 121,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,925.84 : 271,406.04 = 81,082 : x
  2. Step 2: Convert to fraction form
    180,925.84/271,406.04 = 81,082/x
  3. Step 3: Cross multiply
    180,925.84x = 271,406.04 × 81,082
  4. Step 4: Simplify right side
    180,925.84x = 22,006,144,535.28
  5. Step 5: Solve for x
    x = 22,006,144,535.28/180,925.84
  6. Step 6: Final answer
    x = 121,630.74

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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.