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Finding the Fourth Proportional to 272,861.40, 410,166.90 and 194,518.20

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Solution

The fourth proportional to 272,861.40, 410,166.90 and 194,518.20 is: 292,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,861.40 : 410,166.90 = 194,518.20 : x
  2. Step 2: Convert to fraction form
    272,861.40/410,166.90 = 194,518.20/x
  3. Step 3: Cross multiply
    272,861.40x = 410,166.90 × 194,518.20
  4. Step 4: Simplify right side
    272,861.40x = 79,784,927,087.58
  5. Step 5: Solve for x
    x = 79,784,927,087.58/272,861.40
  6. Step 6: Final answer
    x = 292,400.93

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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.