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Finding the Fourth Proportional to 229,084.74, 343,489.01 and 102,702.13

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Solution

The fourth proportional to 229,084.74, 343,489.01 and 102,702.13 is: 153,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,084.74 : 343,489.01 = 102,702.13 : x
  2. Step 2: Convert to fraction form
    229,084.74/343,489.01 = 102,702.13/x
  3. Step 3: Cross multiply
    229,084.74x = 343,489.01 × 102,702.13
  4. Step 4: Simplify right side
    229,084.74x = 35,277,051,586.36
  5. Step 5: Solve for x
    x = 35,277,051,586.36/229,084.74
  6. Step 6: Final answer
    x = 153,991.28

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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.