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Finding the Fourth Proportional to 209,758.17, 314,357.00 and 76,513.17

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Solution

The fourth proportional to 209,758.17, 314,357.00 and 76,513.17 is: 114,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,758.17 : 314,357.00 = 76,513.17 : x
  2. Step 2: Convert to fraction form
    209,758.17/314,357.00 = 76,513.17/x
  3. Step 3: Cross multiply
    209,758.17x = 314,357.00 × 76,513.17
  4. Step 4: Simplify right side
    209,758.17x = 24,052,450,199.12
  5. Step 5: Solve for x
    x = 24,052,450,199.12/209,758.17
  6. Step 6: Final answer
    x = 114,667.52

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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.