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Finding the Fourth Proportional to 200,523.60, 300,785.40 and 170,999.10

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Solution

The fourth proportional to 200,523.60, 300,785.40 and 170,999.10 is: 256,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,523.60 : 300,785.40 = 170,999.10 : x
  2. Step 2: Convert to fraction form
    200,523.60/300,785.40 = 170,999.10/x
  3. Step 3: Cross multiply
    200,523.60x = 300,785.40 × 170,999.10
  4. Step 4: Simplify right side
    200,523.60x = 51,434,032,693.14
  5. Step 5: Solve for x
    x = 51,434,032,693.14/200,523.60
  6. Step 6: Final answer
    x = 256,498.65

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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.