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Finding the Fourth Proportional to 229,159.46, 343,757.57 and 87,072.80

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Solution

The fourth proportional to 229,159.46, 343,757.57 and 87,072.80 is: 130,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,159.46 : 343,757.57 = 87,072.80 : x
  2. Step 2: Convert to fraction form
    229,159.46/343,757.57 = 87,072.80/x
  3. Step 3: Cross multiply
    229,159.46x = 343,757.57 × 87,072.80
  4. Step 4: Simplify right side
    229,159.46x = 29,931,931,986.94
  5. Step 5: Solve for x
    x = 29,931,931,986.94/229,159.46
  6. Step 6: Final answer
    x = 130,616.17

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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.