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Finding the Fourth Proportional to 123,141.36, 169,856.28 and 85,401.84

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Solution

The fourth proportional to 123,141.36, 169,856.28 and 85,401.84 is: 117,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,141.36 : 169,856.28 = 85,401.84 : x
  2. Step 2: Convert to fraction form
    123,141.36/169,856.28 = 85,401.84/x
  3. Step 3: Cross multiply
    123,141.36x = 169,856.28 × 85,401.84
  4. Step 4: Simplify right side
    123,141.36x = 14,506,038,847.56
  5. Step 5: Solve for x
    x = 14,506,038,847.56/123,141.36
  6. Step 6: Final answer
    x = 117,799.89

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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.