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Finding the Fourth Proportional to 146,189.14, 201,706.78 and 85,756.66

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Solution

The fourth proportional to 146,189.14, 201,706.78 and 85,756.66 is: 118,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,189.14 : 201,706.78 = 85,756.66 : x
  2. Step 2: Convert to fraction form
    146,189.14/201,706.78 = 85,756.66/x
  3. Step 3: Cross multiply
    146,189.14x = 201,706.78 × 85,756.66
  4. Step 4: Simplify right side
    146,189.14x = 17,297,699,752.15
  5. Step 5: Solve for x
    x = 17,297,699,752.15/146,189.14
  6. Step 6: Final answer
    x = 118,324.11

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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.