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Finding the Fourth Proportional to 258,513.02, 356,781.21 and 145,357.64

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Solution

The fourth proportional to 258,513.02, 356,781.21 and 145,357.64 is: 200,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,513.02 : 356,781.21 = 145,357.64 : x
  2. Step 2: Convert to fraction form
    258,513.02/356,781.21 = 145,357.64/x
  3. Step 3: Cross multiply
    258,513.02x = 356,781.21 × 145,357.64
  4. Step 4: Simplify right side
    258,513.02x = 51,860,874,681.94
  5. Step 5: Solve for x
    x = 51,860,874,681.94/258,513.02
  6. Step 6: Final answer
    x = 200,612.23

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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.