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Finding the Fourth Proportional to 259,884.29, 358,636.46 and 145,164.53

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Solution

The fourth proportional to 259,884.29, 358,636.46 and 145,164.53 is: 200,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,884.29 : 358,636.46 = 145,164.53 : x
  2. Step 2: Convert to fraction form
    259,884.29/358,636.46 = 145,164.53/x
  3. Step 3: Cross multiply
    259,884.29x = 358,636.46 × 145,164.53
  4. Step 4: Simplify right side
    259,884.29x = 52,061,290,637.76
  5. Step 5: Solve for x
    x = 52,061,290,637.76/259,884.29
  6. Step 6: Final answer
    x = 200,324.89

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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.