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Finding the Fourth Proportional to 229,079.80, 343,838.40 and 116,886.70

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Solution

The fourth proportional to 229,079.80, 343,838.40 and 116,886.70 is: 175,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,079.80 : 343,838.40 = 116,886.70 : x
  2. Step 2: Convert to fraction form
    229,079.80/343,838.40 = 116,886.70/x
  3. Step 3: Cross multiply
    229,079.80x = 343,838.40 × 116,886.70
  4. Step 4: Simplify right side
    229,079.80x = 40,190,135,909.28
  5. Step 5: Solve for x
    x = 40,190,135,909.28/229,079.80
  6. Step 6: Final answer
    x = 175,441.64

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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.