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Finding the Fourth Proportional to 229,106.70, 343,368.45 and 204,029.10

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Solution

The fourth proportional to 229,106.70, 343,368.45 and 204,029.10 is: 305,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,106.70 : 343,368.45 = 204,029.10 : x
  2. Step 2: Convert to fraction form
    229,106.70/343,368.45 = 204,029.10/x
  3. Step 3: Cross multiply
    229,106.70x = 343,368.45 × 204,029.10
  4. Step 4: Simplify right side
    229,106.70x = 70,057,155,821.90
  5. Step 5: Solve for x
    x = 70,057,155,821.90/229,106.70
  6. Step 6: Final answer
    x = 305,783.97

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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.