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Finding the Fourth Proportional to 128,707.12, 177,708.36 and 83,450.80

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Solution

The fourth proportional to 128,707.12, 177,708.36 and 83,450.80 is: 115,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,707.12 : 177,708.36 = 83,450.80 : x
  2. Step 2: Convert to fraction form
    128,707.12/177,708.36 = 83,450.80/x
  3. Step 3: Cross multiply
    128,707.12x = 177,708.36 × 83,450.80
  4. Step 4: Simplify right side
    128,707.12x = 14,829,904,808.69
  5. Step 5: Solve for x
    x = 14,829,904,808.69/128,707.12
  6. Step 6: Final answer
    x = 115,222.10

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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.