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Finding the Fourth Proportional to 138,905.16, 191,690.03 and 75,242.94

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Solution

The fourth proportional to 138,905.16, 191,690.03 and 75,242.94 is: 103,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,905.16 : 191,690.03 = 75,242.94 : x
  2. Step 2: Convert to fraction form
    138,905.16/191,690.03 = 75,242.94/x
  3. Step 3: Cross multiply
    138,905.16x = 191,690.03 × 75,242.94
  4. Step 4: Simplify right side
    138,905.16x = 14,423,321,425.89
  5. Step 5: Solve for x
    x = 14,423,321,425.89/138,905.16
  6. Step 6: Final answer
    x = 103,835.75

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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.