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Finding the Fourth Proportional to 191,808.30, 287,712.45 and 51,581.10

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Solution

The fourth proportional to 191,808.30, 287,712.45 and 51,581.10 is: 77,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,808.30 : 287,712.45 = 51,581.10 : x
  2. Step 2: Convert to fraction form
    191,808.30/287,712.45 = 51,581.10/x
  3. Step 3: Cross multiply
    191,808.30x = 287,712.45 × 51,581.10
  4. Step 4: Simplify right side
    191,808.30x = 14,840,524,654.70
  5. Step 5: Solve for x
    x = 14,840,524,654.70/191,808.30
  6. Step 6: Final answer
    x = 77,371.65

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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.