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Finding the Fourth Proportional to 229,006.98, 343,214.82 and 102,554.64

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Solution

The fourth proportional to 229,006.98, 343,214.82 and 102,554.64 is: 153,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,006.98 : 343,214.82 = 102,554.64 : x
  2. Step 2: Convert to fraction form
    229,006.98/343,214.82 = 102,554.64/x
  3. Step 3: Cross multiply
    229,006.98x = 343,214.82 × 102,554.64
  4. Step 4: Simplify right side
    229,006.98x = 35,198,272,307.76
  5. Step 5: Solve for x
    x = 35,198,272,307.76/229,006.98
  6. Step 6: Final answer
    x = 153,699.56

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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.