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Finding the Fourth Proportional to 102,222.40, 153,333.60 and 85,892.80

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Solution

The fourth proportional to 102,222.40, 153,333.60 and 85,892.80 is: 128,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,222.40 : 153,333.60 = 85,892.80 : x
  2. Step 2: Convert to fraction form
    102,222.40/153,333.60 = 85,892.80/x
  3. Step 3: Cross multiply
    102,222.40x = 153,333.60 × 85,892.80
  4. Step 4: Simplify right side
    102,222.40x = 13,170,252,238.08
  5. Step 5: Solve for x
    x = 13,170,252,238.08/102,222.40
  6. Step 6: Final answer
    x = 128,839.20

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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.