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Finding the Fourth Proportional to 229,051.40, 343,836.30 and 135,609.80

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Solution

The fourth proportional to 229,051.40, 343,836.30 and 135,609.80 is: 203,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,051.40 : 343,836.30 = 135,609.80 : x
  2. Step 2: Convert to fraction form
    229,051.40/343,836.30 = 135,609.80/x
  3. Step 3: Cross multiply
    229,051.40x = 343,836.30 × 135,609.80
  4. Step 4: Simplify right side
    229,051.40x = 46,627,571,875.74
  5. Step 5: Solve for x
    x = 46,627,571,875.74/229,051.40
  6. Step 6: Final answer
    x = 203,568.16

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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.