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Finding the Fourth Proportional to 200,735.10, 301,143.15 and 58,580.10

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Solution

The fourth proportional to 200,735.10, 301,143.15 and 58,580.10 is: 87,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,735.10 : 301,143.15 = 58,580.10 : x
  2. Step 2: Convert to fraction form
    200,735.10/301,143.15 = 58,580.10/x
  3. Step 3: Cross multiply
    200,735.10x = 301,143.15 × 58,580.10
  4. Step 4: Simplify right side
    200,735.10x = 17,640,995,841.32
  5. Step 5: Solve for x
    x = 17,640,995,841.32/200,735.10
  6. Step 6: Final answer
    x = 87,881.97

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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.