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Finding the Fourth Proportional to 258,355.50, 356,564 and 145,178.26

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Solution

The fourth proportional to 258,355.50, 356,564 and 145,178.26 is: 200,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,355.50 : 356,564 = 145,178.26 : x
  2. Step 2: Convert to fraction form
    258,355.50/356,564 = 145,178.26/x
  3. Step 3: Cross multiply
    258,355.50x = 356,564 × 145,178.26
  4. Step 4: Simplify right side
    258,355.50x = 51,765,341,098.64
  5. Step 5: Solve for x
    x = 51,765,341,098.64/258,355.50
  6. Step 6: Final answer
    x = 200,364.77

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Why These Related Problems?

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