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Finding the Fourth Proportional to 193,223.68, 289,586.04 and 86,529.68

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Solution

The fourth proportional to 193,223.68, 289,586.04 and 86,529.68 is: 129,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,223.68 : 289,586.04 = 86,529.68 : x
  2. Step 2: Convert to fraction form
    193,223.68/289,586.04 = 86,529.68/x
  3. Step 3: Cross multiply
    193,223.68x = 289,586.04 × 86,529.68
  4. Step 4: Simplify right side
    193,223.68x = 25,057,787,373.67
  5. Step 5: Solve for x
    x = 25,057,787,373.67/193,223.68
  6. Step 6: Final answer
    x = 129,682.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.