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Finding the Fourth Proportional to 102,902.40, 154,353.60 and 85,989.60

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Solution

The fourth proportional to 102,902.40, 154,353.60 and 85,989.60 is: 128,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,902.40 : 154,353.60 = 85,989.60 : x
  2. Step 2: Convert to fraction form
    102,902.40/154,353.60 = 85,989.60/x
  3. Step 3: Cross multiply
    102,902.40x = 154,353.60 × 85,989.60
  4. Step 4: Simplify right side
    102,902.40x = 13,272,804,322.56
  5. Step 5: Solve for x
    x = 13,272,804,322.56/102,902.40
  6. Step 6: Final answer
    x = 128,984.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.