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Finding the Fourth Proportional to 229,096.96, 343,712 and 102,709.12

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Solution

The fourth proportional to 229,096.96, 343,712 and 102,709.12 is: 154,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,096.96 : 343,712 = 102,709.12 : x
  2. Step 2: Convert to fraction form
    229,096.96/343,712 = 102,709.12/x
  3. Step 3: Cross multiply
    229,096.96x = 343,712 × 102,709.12
  4. Step 4: Simplify right side
    229,096.96x = 35,302,357,053.44
  5. Step 5: Solve for x
    x = 35,302,357,053.44/229,096.96
  6. Step 6: Final answer
    x = 154,093.52

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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.