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Finding the Fourth Proportional to 104,793.81, 156,707.86 and 77,827.07

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Solution

The fourth proportional to 104,793.81, 156,707.86 and 77,827.07 is: 116,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,793.81 : 156,707.86 = 77,827.07 : x
  2. Step 2: Convert to fraction form
    104,793.81/156,707.86 = 77,827.07/x
  3. Step 3: Cross multiply
    104,793.81x = 156,707.86 × 77,827.07
  4. Step 4: Simplify right side
    104,793.81x = 12,196,113,786.97
  5. Step 5: Solve for x
    x = 12,196,113,786.97/104,793.81
  6. Step 6: Final answer
    x = 116,382.01

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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.