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Finding the Fourth Proportional to 229,007.98, 343,216.32 and 102,555.64

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Solution

The fourth proportional to 229,007.98, 343,216.32 and 102,555.64 is: 153,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,007.98 : 343,216.32 = 102,555.64 : x
  2. Step 2: Convert to fraction form
    229,007.98/343,216.32 = 102,555.64/x
  3. Step 3: Cross multiply
    229,007.98x = 343,216.32 × 102,555.64
  4. Step 4: Simplify right side
    229,007.98x = 35,198,769,356.04
  5. Step 5: Solve for x
    x = 35,198,769,356.04/229,007.98
  6. Step 6: Final answer
    x = 153,701.06

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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.