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Finding the Fourth Proportional to 191,804.57, 287,789.84 and 102,954.32

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Solution

The fourth proportional to 191,804.57, 287,789.84 and 102,954.32 is: 154,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,804.57 : 287,789.84 = 102,954.32 : x
  2. Step 2: Convert to fraction form
    191,804.57/287,789.84 = 102,954.32/x
  3. Step 3: Cross multiply
    191,804.57x = 287,789.84 × 102,954.32
  4. Step 4: Simplify right side
    191,804.57x = 29,629,207,280.11
  5. Step 5: Solve for x
    x = 29,629,207,280.11/191,804.57
  6. Step 6: Final answer
    x = 154,476.02

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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.