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Finding the Fourth Proportional to 216,084.60, 323,713.80 and 116,211.60

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Solution

The fourth proportional to 216,084.60, 323,713.80 and 116,211.60 is: 174,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,084.60 : 323,713.80 = 116,211.60 : x
  2. Step 2: Convert to fraction form
    216,084.60/323,713.80 = 116,211.60/x
  3. Step 3: Cross multiply
    216,084.60x = 323,713.80 × 116,211.60
  4. Step 4: Simplify right side
    216,084.60x = 37,619,298,640.08
  5. Step 5: Solve for x
    x = 37,619,298,640.08/216,084.60
  6. Step 6: Final answer
    x = 174,095.23

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Why These Related Problems?

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