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Finding the Fourth Proportional to 208,586.92, 312,904.65 and 75,529.84

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Solution

The fourth proportional to 208,586.92, 312,904.65 and 75,529.84 is: 113,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,586.92 : 312,904.65 = 75,529.84 : x
  2. Step 2: Convert to fraction form
    208,586.92/312,904.65 = 75,529.84/x
  3. Step 3: Cross multiply
    208,586.92x = 312,904.65 × 75,529.84
  4. Step 4: Simplify right side
    208,586.92x = 23,633,638,149.76
  5. Step 5: Solve for x
    x = 23,633,638,149.76/208,586.92
  6. Step 6: Final answer
    x = 113,303.55

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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.