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Finding the Fourth Proportional to 153,884.10, 212,370.72 and 85,914.42

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Solution

The fourth proportional to 153,884.10, 212,370.72 and 85,914.42 is: 118,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,884.10 : 212,370.72 = 85,914.42 : x
  2. Step 2: Convert to fraction form
    153,884.10/212,370.72 = 85,914.42/x
  3. Step 3: Cross multiply
    153,884.10x = 212,370.72 × 85,914.42
  4. Step 4: Simplify right side
    153,884.10x = 18,245,707,233.78
  5. Step 5: Solve for x
    x = 18,245,707,233.78/153,884.10
  6. Step 6: Final answer
    x = 118,567.85

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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.