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Finding the Fourth Proportional to 104,809.67, 156,731.62 and 77,842.92

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Solution

The fourth proportional to 104,809.67, 156,731.62 and 77,842.92 is: 116,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,809.67 : 156,731.62 = 77,842.92 : x
  2. Step 2: Convert to fraction form
    104,809.67/156,731.62 = 77,842.92/x
  3. Step 3: Cross multiply
    104,809.67x = 156,731.62 × 77,842.92
  4. Step 4: Simplify right side
    104,809.67x = 12,200,446,957.13
  5. Step 5: Solve for x
    x = 12,200,446,957.13/104,809.67
  6. Step 6: Final answer
    x = 116,405.74

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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.