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Finding the Fourth Proportional to 229,823.70, 344,735.61 and 72,064.45

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Solution

The fourth proportional to 229,823.70, 344,735.61 and 72,064.45 is: 108,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,823.70 : 344,735.61 = 72,064.45 : x
  2. Step 2: Convert to fraction form
    229,823.70/344,735.61 = 72,064.45/x
  3. Step 3: Cross multiply
    229,823.70x = 344,735.61 × 72,064.45
  4. Step 4: Simplify right side
    229,823.70x = 24,843,182,130.06
  5. Step 5: Solve for x
    x = 24,843,182,130.06/229,823.70
  6. Step 6: Final answer
    x = 108,096.69

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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.