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Finding the Fourth Proportional to 103,409.80, 155,114.70 and 92,912.20

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Solution

The fourth proportional to 103,409.80, 155,114.70 and 92,912.20 is: 139,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,409.80 : 155,114.70 = 92,912.20 : x
  2. Step 2: Convert to fraction form
    103,409.80/155,114.70 = 92,912.20/x
  3. Step 3: Cross multiply
    103,409.80x = 155,114.70 × 92,912.20
  4. Step 4: Simplify right side
    103,409.80x = 14,412,048,029.34
  5. Step 5: Solve for x
    x = 14,412,048,029.34/103,409.80
  6. Step 6: Final answer
    x = 139,368.30

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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.