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Finding the Fourth Proportional to 120,123.40, 180,185.10 and 57,800.20

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Solution

The fourth proportional to 120,123.40, 180,185.10 and 57,800.20 is: 86,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,123.40 : 180,185.10 = 57,800.20 : x
  2. Step 2: Convert to fraction form
    120,123.40/180,185.10 = 57,800.20/x
  3. Step 3: Cross multiply
    120,123.40x = 180,185.10 × 57,800.20
  4. Step 4: Simplify right side
    120,123.40x = 10,414,734,817.02
  5. Step 5: Solve for x
    x = 10,414,734,817.02/120,123.40
  6. Step 6: Final answer
    x = 86,700.30

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1.5x scale

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.