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Finding the Fourth Proportional to 183,211, 274,855.70 and 56,848.48

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Solution

The fourth proportional to 183,211, 274,855.70 and 56,848.48 is: 85,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,211 : 274,855.70 = 56,848.48 : x
  2. Step 2: Convert to fraction form
    183,211/274,855.70 = 56,848.48/x
  3. Step 3: Cross multiply
    183,211x = 274,855.70 × 56,848.48
  4. Step 4: Simplify right side
    183,211x = 15,625,128,764.34
  5. Step 5: Solve for x
    x = 15,625,128,764.34/183,211
  6. Step 6: Final answer
    x = 85,284.88

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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.