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Finding the Fourth Proportional to 229,078.80, 343,836.90 and 116,885.70

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Solution

The fourth proportional to 229,078.80, 343,836.90 and 116,885.70 is: 175,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,078.80 : 343,836.90 = 116,885.70 : x
  2. Step 2: Convert to fraction form
    229,078.80/343,836.90 = 116,885.70/x
  3. Step 3: Cross multiply
    229,078.80x = 343,836.90 × 116,885.70
  4. Step 4: Simplify right side
    229,078.80x = 40,189,616,742.33
  5. Step 5: Solve for x
    x = 40,189,616,742.33/229,078.80
  6. Step 6: Final answer
    x = 175,440.14

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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.