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Finding the Fourth Proportional to 133,547.96, 200,183.50 and 83,513.22

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Solution

The fourth proportional to 133,547.96, 200,183.50 and 83,513.22 is: 125,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,547.96 : 200,183.50 = 83,513.22 : x
  2. Step 2: Convert to fraction form
    133,547.96/200,183.50 = 83,513.22/x
  3. Step 3: Cross multiply
    133,547.96x = 200,183.50 × 83,513.22
  4. Step 4: Simplify right side
    133,547.96x = 16,717,968,675.87
  5. Step 5: Solve for x
    x = 16,717,968,675.87/133,547.96
  6. Step 6: Final answer
    x = 125,183.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.