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Finding the Fourth Proportional to 229,000.10, 343,532.55 and 71,212.10

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Solution

The fourth proportional to 229,000.10, 343,532.55 and 71,212.10 is: 106,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,000.10 : 343,532.55 = 71,212.10 : x
  2. Step 2: Convert to fraction form
    229,000.10/343,532.55 = 71,212.10/x
  3. Step 3: Cross multiply
    229,000.10x = 343,532.55 × 71,212.10
  4. Step 4: Simplify right side
    229,000.10x = 24,463,674,303.86
  5. Step 5: Solve for x
    x = 24,463,674,303.86/229,000.10
  6. Step 6: Final answer
    x = 106,828.23

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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.