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Finding the Fourth Proportional to 233,626.50, 322,404.69 and 126,196.53

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Solution

The fourth proportional to 233,626.50, 322,404.69 and 126,196.53 is: 174,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,626.50 : 322,404.69 = 126,196.53 : x
  2. Step 2: Convert to fraction form
    233,626.50/322,404.69 = 126,196.53/x
  3. Step 3: Cross multiply
    233,626.50x = 322,404.69 × 126,196.53
  4. Step 4: Simplify right side
    233,626.50x = 40,686,353,133.73
  5. Step 5: Solve for x
    x = 40,686,353,133.73/233,626.50
  6. Step 6: Final answer
    x = 174,151.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.