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Finding the Fourth Proportional to 128,833.92, 193,222.80 and 65,586.96

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Solution

The fourth proportional to 128,833.92, 193,222.80 and 65,586.96 is: 98,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,833.92 : 193,222.80 = 65,586.96 : x
  2. Step 2: Convert to fraction form
    128,833.92/193,222.80 = 65,586.96/x
  3. Step 3: Cross multiply
    128,833.92x = 193,222.80 × 65,586.96
  4. Step 4: Simplify right side
    128,833.92x = 12,672,896,054.69
  5. Step 5: Solve for x
    x = 12,672,896,054.69/128,833.92
  6. Step 6: Final answer
    x = 98,366.14

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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.