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Finding the Fourth Proportional to 102,189.70, 154,244.44 and 102,189.70

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Solution

The fourth proportional to 102,189.70, 154,244.44 and 102,189.70 is: 154,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,189.70 : 154,244.44 = 102,189.70 : x
  2. Step 2: Convert to fraction form
    102,189.70/154,244.44 = 102,189.70/x
  3. Step 3: Cross multiply
    102,189.70x = 154,244.44 × 102,189.70
  4. Step 4: Simplify right side
    102,189.70x = 15,762,193,050.27
  5. Step 5: Solve for x
    x = 15,762,193,050.27/102,189.70
  6. Step 6: Final answer
    x = 154,244.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.