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Finding the Fourth Proportional to 146,119.34, 201,642.99 and 85,677.50

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Solution

The fourth proportional to 146,119.34, 201,642.99 and 85,677.50 is: 118,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,119.34 : 201,642.99 = 85,677.50 : x
  2. Step 2: Convert to fraction form
    146,119.34/201,642.99 = 85,677.50/x
  3. Step 3: Cross multiply
    146,119.34x = 201,642.99 × 85,677.50
  4. Step 4: Simplify right side
    146,119.34x = 17,276,267,275.73
  5. Step 5: Solve for x
    x = 17,276,267,275.73/146,119.34
  6. Step 6: Final answer
    x = 118,233.95

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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.