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Finding the Fourth Proportional to 133,702.80, 184,479.93 and 76,323.84

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Solution

The fourth proportional to 133,702.80, 184,479.93 and 76,323.84 is: 105,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,702.80 : 184,479.93 = 76,323.84 : x
  2. Step 2: Convert to fraction form
    133,702.80/184,479.93 = 76,323.84/x
  3. Step 3: Cross multiply
    133,702.80x = 184,479.93 × 76,323.84
  4. Step 4: Simplify right side
    133,702.80x = 14,080,216,660.53
  5. Step 5: Solve for x
    x = 14,080,216,660.53/133,702.80
  6. Step 6: Final answer
    x = 105,309.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.