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Finding the Fourth Proportional to 138,719.66, 191,431.77 and 75,056.06

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Solution

The fourth proportional to 138,719.66, 191,431.77 and 75,056.06 is: 103,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,719.66 : 191,431.77 = 75,056.06 : x
  2. Step 2: Convert to fraction form
    138,719.66/191,431.77 = 75,056.06/x
  3. Step 3: Cross multiply
    138,719.66x = 191,431.77 × 75,056.06
  4. Step 4: Simplify right side
    138,719.66x = 14,368,114,415.03
  5. Step 5: Solve for x
    x = 14,368,114,415.03/138,719.66
  6. Step 6: Final answer
    x = 103,576.63

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Why These Related Problems?

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