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Finding the Fourth Proportional to 180,882, 271,346.04 and 49,554

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Solution

The fourth proportional to 180,882, 271,346.04 and 49,554 is: 74,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,882 : 271,346.04 = 49,554 : x
  2. Step 2: Convert to fraction form
    180,882/271,346.04 = 49,554/x
  3. Step 3: Cross multiply
    180,882x = 271,346.04 × 49,554
  4. Step 4: Simplify right side
    180,882x = 13,446,281,666.16
  5. Step 5: Solve for x
    x = 13,446,281,666.16/180,882
  6. Step 6: Final answer
    x = 74,337.31

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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.