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Finding the Fourth Proportional to 135,812.29, 187,417.38 and 75,382.78

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Solution

The fourth proportional to 135,812.29, 187,417.38 and 75,382.78 is: 104,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,812.29 : 187,417.38 = 75,382.78 : x
  2. Step 2: Convert to fraction form
    135,812.29/187,417.38 = 75,382.78/x
  3. Step 3: Cross multiply
    135,812.29x = 187,417.38 × 75,382.78
  4. Step 4: Simplify right side
    135,812.29x = 14,128,043,124.72
  5. Step 5: Solve for x
    x = 14,128,043,124.72/135,812.29
  6. Step 6: Final answer
    x = 104,026.25

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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.