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Finding the Fourth Proportional to 128,409.35, 192,649.47 and 53,564.68

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Solution

The fourth proportional to 128,409.35, 192,649.47 and 53,564.68 is: 80,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,409.35 : 192,649.47 = 53,564.68 : x
  2. Step 2: Convert to fraction form
    128,409.35/192,649.47 = 53,564.68/x
  3. Step 3: Cross multiply
    128,409.35x = 192,649.47 × 53,564.68
  4. Step 4: Simplify right side
    128,409.35x = 10,319,205,981.65
  5. Step 5: Solve for x
    x = 10,319,205,981.65/128,409.35
  6. Step 6: Final answer
    x = 80,361.80

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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.