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Finding the Fourth Proportional to 259,817.76, 358,541.62 and 145,093.23

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Solution

The fourth proportional to 259,817.76, 358,541.62 and 145,093.23 is: 200,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,817.76 : 358,541.62 = 145,093.23 : x
  2. Step 2: Convert to fraction form
    259,817.76/358,541.62 = 145,093.23/x
  3. Step 3: Cross multiply
    259,817.76x = 358,541.62 × 145,093.23
  4. Step 4: Simplify right side
    259,817.76x = 52,021,961,372.50
  5. Step 5: Solve for x
    x = 52,021,961,372.50/259,817.76
  6. Step 6: Final answer
    x = 200,224.81

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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.