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Finding the Fourth Proportional to 453,855.60, 680,783.40 and 188,135.10

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Solution

The fourth proportional to 453,855.60, 680,783.40 and 188,135.10 is: 282,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,855.60 : 680,783.40 = 188,135.10 : x
  2. Step 2: Convert to fraction form
    453,855.60/680,783.40 = 188,135.10/x
  3. Step 3: Cross multiply
    453,855.60x = 680,783.40 × 188,135.10
  4. Step 4: Simplify right side
    453,855.60x = 128,079,253,037.34
  5. Step 5: Solve for x
    x = 128,079,253,037.34/453,855.60
  6. Step 6: Final answer
    x = 282,202.65

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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.