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Finding the Fourth Proportional to 243,089.92, 364,673.76 and 102,849.76

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Solution

The fourth proportional to 243,089.92, 364,673.76 and 102,849.76 is: 154,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,089.92 : 364,673.76 = 102,849.76 : x
  2. Step 2: Convert to fraction form
    243,089.92/364,673.76 = 102,849.76/x
  3. Step 3: Cross multiply
    243,089.92x = 364,673.76 × 102,849.76
  4. Step 4: Simplify right side
    243,089.92x = 37,506,608,694.30
  5. Step 5: Solve for x
    x = 37,506,608,694.30/243,089.92
  6. Step 6: Final answer
    x = 154,291.09

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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.