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Finding the Fourth Proportional to 191,884.96, 287,453.44 and 116,818.96

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Solution

The fourth proportional to 191,884.96, 287,453.44 and 116,818.96 is: 175,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,884.96 : 287,453.44 = 116,818.96 : x
  2. Step 2: Convert to fraction form
    191,884.96/287,453.44 = 116,818.96/x
  3. Step 3: Cross multiply
    191,884.96x = 287,453.44 × 116,818.96
  4. Step 4: Simplify right side
    191,884.96x = 33,580,011,909.22
  5. Step 5: Solve for x
    x = 33,580,011,909.22/191,884.96
  6. Step 6: Final answer
    x = 175,000.75

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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.