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Finding the Fourth Proportional to 229,809.30, 344,908.35 and 103,643.70

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Solution

The fourth proportional to 229,809.30, 344,908.35 and 103,643.70 is: 155,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,809.30 : 344,908.35 = 103,643.70 : x
  2. Step 2: Convert to fraction form
    229,809.30/344,908.35 = 103,643.70/x
  3. Step 3: Cross multiply
    229,809.30x = 344,908.35 × 103,643.70
  4. Step 4: Simplify right side
    229,809.30x = 35,747,577,554.90
  5. Step 5: Solve for x
    x = 35,747,577,554.90/229,809.30
  6. Step 6: Final answer
    x = 155,553.22

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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.