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Finding the Fourth Proportional to 191,884.80, 287,308.80 and 150,412.80

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Solution

The fourth proportional to 191,884.80, 287,308.80 and 150,412.80 is: 225,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,884.80 : 287,308.80 = 150,412.80 : x
  2. Step 2: Convert to fraction form
    191,884.80/287,308.80 = 150,412.80/x
  3. Step 3: Cross multiply
    191,884.80x = 287,308.80 × 150,412.80
  4. Step 4: Simplify right side
    191,884.80x = 43,214,921,072.64
  5. Step 5: Solve for x
    x = 43,214,921,072.64/191,884.80
  6. Step 6: Final answer
    x = 225,212.84

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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.