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Finding the Fourth Proportional to 128,709.12, 177,711.12 and 83,452.80

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Solution

The fourth proportional to 128,709.12, 177,711.12 and 83,452.80 is: 115,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,709.12 : 177,711.12 = 83,452.80 : x
  2. Step 2: Convert to fraction form
    128,709.12/177,711.12 = 83,452.80/x
  3. Step 3: Cross multiply
    128,709.12x = 177,711.12 × 83,452.80
  4. Step 4: Simplify right side
    128,709.12x = 14,830,490,555.14
  5. Step 5: Solve for x
    x = 14,830,490,555.14/128,709.12
  6. Step 6: Final answer
    x = 115,224.86

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