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Finding the Fourth Proportional to 229,792.04, 344,687.54 and 109,483.80

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Solution

The fourth proportional to 229,792.04, 344,687.54 and 109,483.80 is: 164,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,792.04 : 344,687.54 = 109,483.80 : x
  2. Step 2: Convert to fraction form
    229,792.04/344,687.54 = 109,483.80/x
  3. Step 3: Cross multiply
    229,792.04x = 344,687.54 × 109,483.80
  4. Step 4: Simplify right side
    229,792.04x = 37,737,701,965.56
  5. Step 5: Solve for x
    x = 37,737,701,965.56/229,792.04
  6. Step 6: Final answer
    x = 164,225.46

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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.