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Finding the Fourth Proportional to 128,833.12, 177,794.22 and 75,109.06

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Solution

The fourth proportional to 128,833.12, 177,794.22 and 75,109.06 is: 103,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,833.12 : 177,794.22 = 75,109.06 : x
  2. Step 2: Convert to fraction form
    128,833.12/177,794.22 = 75,109.06/x
  3. Step 3: Cross multiply
    128,833.12x = 177,794.22 × 75,109.06
  4. Step 4: Simplify right side
    128,833.12x = 13,353,956,737.63
  5. Step 5: Solve for x
    x = 13,353,956,737.63/128,833.12
  6. Step 6: Final answer
    x = 103,653.13

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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.