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Finding the Fourth Proportional to 229,096.32, 343,506.42 and 102,713.70

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Solution

The fourth proportional to 229,096.32, 343,506.42 and 102,713.70 is: 154,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,096.32 : 343,506.42 = 102,713.70 : x
  2. Step 2: Convert to fraction form
    229,096.32/343,506.42 = 102,713.70/x
  3. Step 3: Cross multiply
    229,096.32x = 343,506.42 × 102,713.70
  4. Step 4: Simplify right side
    229,096.32x = 35,282,815,371.95
  5. Step 5: Solve for x
    x = 35,282,815,371.95/229,096.32
  6. Step 6: Final answer
    x = 154,008.65

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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.