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Finding the Fourth Proportional to 209,857.30, 314,670.52 and 143,372.50

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Solution

The fourth proportional to 209,857.30, 314,670.52 and 143,372.50 is: 214,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.30 : 314,670.52 = 143,372.50 : x
  2. Step 2: Convert to fraction form
    209,857.30/314,670.52 = 143,372.50/x
  3. Step 3: Cross multiply
    209,857.30x = 314,670.52 × 143,372.50
  4. Step 4: Simplify right side
    209,857.30x = 45,115,099,128.70
  5. Step 5: Solve for x
    x = 45,115,099,128.70/209,857.30
  6. Step 6: Final answer
    x = 214,979.89

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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.