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Finding the Fourth Proportional to 153,812.67, 212,261.22 and 85,825.50

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Solution

The fourth proportional to 153,812.67, 212,261.22 and 85,825.50 is: 118,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,812.67 : 212,261.22 = 85,825.50 : x
  2. Step 2: Convert to fraction form
    153,812.67/212,261.22 = 85,825.50/x
  3. Step 3: Cross multiply
    153,812.67x = 212,261.22 × 85,825.50
  4. Step 4: Simplify right side
    153,812.67x = 18,217,425,337.11
  5. Step 5: Solve for x
    x = 18,217,425,337.11/153,812.67
  6. Step 6: Final answer
    x = 118,439.04

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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.