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Finding the Fourth Proportional to 146,865.84, 202,684.88 and 83,204.16

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Solution

The fourth proportional to 146,865.84, 202,684.88 and 83,204.16 is: 114,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,865.84 : 202,684.88 = 83,204.16 : x
  2. Step 2: Convert to fraction form
    146,865.84/202,684.88 = 83,204.16/x
  3. Step 3: Cross multiply
    146,865.84x = 202,684.88 × 83,204.16
  4. Step 4: Simplify right side
    146,865.84x = 16,864,225,185.10
  5. Step 5: Solve for x
    x = 16,864,225,185.10/146,865.84
  6. Step 6: Final answer
    x = 114,827.42

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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.