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Finding the Fourth Proportional to 191,778.56, 287,750.80 and 102,928.27

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Solution

The fourth proportional to 191,778.56, 287,750.80 and 102,928.27 is: 154,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,778.56 : 287,750.80 = 102,928.27 : x
  2. Step 2: Convert to fraction form
    191,778.56/287,750.80 = 102,928.27/x
  3. Step 3: Cross multiply
    191,778.56x = 287,750.80 × 102,928.27
  4. Step 4: Simplify right side
    191,778.56x = 29,617,692,273.42
  5. Step 5: Solve for x
    x = 29,617,692,273.42/191,778.56
  6. Step 6: Final answer
    x = 154,436.93

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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.