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Finding the Fourth Proportional to 258,263.71, 356,402.02 and 145,086.46

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Solution

The fourth proportional to 258,263.71, 356,402.02 and 145,086.46 is: 200,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,263.71 : 356,402.02 = 145,086.46 : x
  2. Step 2: Convert to fraction form
    258,263.71/356,402.02 = 145,086.46/x
  3. Step 3: Cross multiply
    258,263.71x = 356,402.02 × 145,086.46
  4. Step 4: Simplify right side
    258,263.71x = 51,709,104,911.21
  5. Step 5: Solve for x
    x = 51,709,104,911.21/258,263.71
  6. Step 6: Final answer
    x = 200,218.24

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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.