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Finding the Fourth Proportional to 191,082.82, 286,623.86 and 50,841.44

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Solution

The fourth proportional to 191,082.82, 286,623.86 and 50,841.44 is: 76,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,082.82 : 286,623.86 = 50,841.44 : x
  2. Step 2: Convert to fraction form
    191,082.82/286,623.86 = 50,841.44/x
  3. Step 3: Cross multiply
    191,082.82x = 286,623.86 × 50,841.44
  4. Step 4: Simplify right side
    191,082.82x = 14,572,369,780.76
  5. Step 5: Solve for x
    x = 14,572,369,780.76/191,082.82
  6. Step 6: Final answer
    x = 76,262.06

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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.