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Finding the Fourth Proportional to 229,257.20, 343,885.80 and 176,769.20

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Solution

The fourth proportional to 229,257.20, 343,885.80 and 176,769.20 is: 265,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,257.20 : 343,885.80 = 176,769.20 : x
  2. Step 2: Convert to fraction form
    229,257.20/343,885.80 = 176,769.20/x
  3. Step 3: Cross multiply
    229,257.20x = 343,885.80 × 176,769.20
  4. Step 4: Simplify right side
    229,257.20x = 60,788,417,757.36
  5. Step 5: Solve for x
    x = 60,788,417,757.36/229,257.20
  6. Step 6: Final answer
    x = 265,153.80

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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.