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Finding the Fourth Proportional to 191,833.44, 287,644.32 and 103,061.76

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Solution

The fourth proportional to 191,833.44, 287,644.32 and 103,061.76 is: 154,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,833.44 : 287,644.32 = 103,061.76 : x
  2. Step 2: Convert to fraction form
    191,833.44/287,644.32 = 103,061.76/x
  3. Step 3: Cross multiply
    191,833.44x = 287,644.32 × 103,061.76
  4. Step 4: Simplify right side
    191,833.44x = 29,645,129,873.20
  5. Step 5: Solve for x
    x = 29,645,129,873.20/191,833.44
  6. Step 6: Final answer
    x = 154,535.78

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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.