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Finding the Fourth Proportional to 145,580.20, 200,884.30 and 81,916.60

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Solution

The fourth proportional to 145,580.20, 200,884.30 and 81,916.60 is: 113,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,580.20 : 200,884.30 = 81,916.60 : x
  2. Step 2: Convert to fraction form
    145,580.20/200,884.30 = 81,916.60/x
  3. Step 3: Cross multiply
    145,580.20x = 200,884.30 × 81,916.60
  4. Step 4: Simplify right side
    145,580.20x = 16,455,758,849.38
  5. Step 5: Solve for x
    x = 16,455,758,849.38/145,580.20
  6. Step 6: Final answer
    x = 113,035.69

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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.