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Finding the Fourth Proportional to 191,842.34, 287,789.76 and 65,448.65

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Solution

The fourth proportional to 191,842.34, 287,789.76 and 65,448.65 is: 98,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,842.34 : 287,789.76 = 65,448.65 : x
  2. Step 2: Convert to fraction form
    191,842.34/287,789.76 = 65,448.65/x
  3. Step 3: Cross multiply
    191,842.34x = 287,789.76 × 65,448.65
  4. Step 4: Simplify right side
    191,842.34x = 18,835,449,836.88
  5. Step 5: Solve for x
    x = 18,835,449,836.88/191,842.34
  6. Step 6: Final answer
    x = 98,181.93

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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.