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Finding the Fourth Proportional to 258,738.40, 357,033.72 and 145,558.72

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Solution

The fourth proportional to 258,738.40, 357,033.72 and 145,558.72 is: 200,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,738.40 : 357,033.72 = 145,558.72 : x
  2. Step 2: Convert to fraction form
    258,738.40/357,033.72 = 145,558.72/x
  3. Step 3: Cross multiply
    258,738.40x = 357,033.72 × 145,558.72
  4. Step 4: Simplify right side
    258,738.40x = 51,969,371,280.04
  5. Step 5: Solve for x
    x = 51,969,371,280.04/258,738.40
  6. Step 6: Final answer
    x = 200,856.82

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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.