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Finding the Fourth Proportional to 191,801.32, 287,784.97 and 102,951.07

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Solution

The fourth proportional to 191,801.32, 287,784.97 and 102,951.07 is: 154,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,801.32 : 287,784.97 = 102,951.07 : x
  2. Step 2: Convert to fraction form
    191,801.32/287,784.97 = 102,951.07/x
  3. Step 3: Cross multiply
    191,801.32x = 287,784.97 × 102,951.07
  4. Step 4: Simplify right side
    191,801.32x = 29,627,769,614.58
  5. Step 5: Solve for x
    x = 29,627,769,614.58/191,801.32
  6. Step 6: Final answer
    x = 154,471.15

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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.