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Finding the Fourth Proportional to 154,205.70, 212,794.02 and 86,228.28

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Solution

The fourth proportional to 154,205.70, 212,794.02 and 86,228.28 is: 118,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,205.70 : 212,794.02 = 86,228.28 : x
  2. Step 2: Convert to fraction form
    154,205.70/212,794.02 = 86,228.28/x
  3. Step 3: Cross multiply
    154,205.70x = 212,794.02 × 86,228.28
  4. Step 4: Simplify right side
    154,205.70x = 18,348,862,338.89
  5. Step 5: Solve for x
    x = 18,348,862,338.89/154,205.70
  6. Step 6: Final answer
    x = 118,989.52

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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.