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Finding the Fourth Proportional to 148,534.80, 222,703.80 and 82,006.80

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Solution

The fourth proportional to 148,534.80, 222,703.80 and 82,006.80 is: 122,955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,534.80 : 222,703.80 = 82,006.80 : x
  2. Step 2: Convert to fraction form
    148,534.80/222,703.80 = 82,006.80/x
  3. Step 3: Cross multiply
    148,534.80x = 222,703.80 × 82,006.80
  4. Step 4: Simplify right side
    148,534.80x = 18,263,225,985.84
  5. Step 5: Solve for x
    x = 18,263,225,985.84/148,534.80
  6. Step 6: Final answer
    x = 122,955.87

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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.