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Finding the Fourth Proportional to 258,990.24, 357,406.08 and 145,813.44

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Solution

The fourth proportional to 258,990.24, 357,406.08 and 145,813.44 is: 201,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,990.24 : 357,406.08 = 145,813.44 : x
  2. Step 2: Convert to fraction form
    258,990.24/357,406.08 = 145,813.44/x
  3. Step 3: Cross multiply
    258,990.24x = 357,406.08 × 145,813.44
  4. Step 4: Simplify right side
    258,990.24x = 52,114,610,001.72
  5. Step 5: Solve for x
    x = 52,114,610,001.72/258,990.24
  6. Step 6: Final answer
    x = 201,222.29

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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.