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Finding the Fourth Proportional to 259,817.51, 358,541.27 and 145,092.98

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Solution

The fourth proportional to 259,817.51, 358,541.27 and 145,092.98 is: 200,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,817.51 : 358,541.27 = 145,092.98 : x
  2. Step 2: Convert to fraction form
    259,817.51/358,541.27 = 145,092.98/x
  3. Step 3: Cross multiply
    259,817.51x = 358,541.27 × 145,092.98
  4. Step 4: Simplify right side
    259,817.51x = 52,021,821,317.28
  5. Step 5: Solve for x
    x = 52,021,821,317.28/259,817.51
  6. Step 6: Final answer
    x = 200,224.46

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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.