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Finding the Fourth Proportional to 258,352, 356,559.17 and 145,174.76

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Solution

The fourth proportional to 258,352, 356,559.17 and 145,174.76 is: 200,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,352 : 356,559.17 = 145,174.76 : x
  2. Step 2: Convert to fraction form
    258,352/356,559.17 = 145,174.76/x
  3. Step 3: Cross multiply
    258,352x = 356,559.17 × 145,174.76
  4. Step 4: Simplify right side
    258,352x = 51,763,391,930.55
  5. Step 5: Solve for x
    x = 51,763,391,930.55/258,352
  6. Step 6: Final answer
    x = 200,359.94

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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.