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Finding the Fourth Proportional to 146,266.35, 201,869.10 and 85,870.30

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Solution

The fourth proportional to 146,266.35, 201,869.10 and 85,870.30 is: 118,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,266.35 : 201,869.10 = 85,870.30 : x
  2. Step 2: Convert to fraction form
    146,266.35/201,869.10 = 85,870.30/x
  3. Step 3: Cross multiply
    146,266.35x = 201,869.10 × 85,870.30
  4. Step 4: Simplify right side
    146,266.35x = 17,334,560,177.73
  5. Step 5: Solve for x
    x = 17,334,560,177.73/146,266.35
  6. Step 6: Final answer
    x = 118,513.66

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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.