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Finding the Fourth Proportional to 230,072.16, 317,450.78 and 145,140

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Solution

The fourth proportional to 230,072.16, 317,450.78 and 145,140 is: 200,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,072.16 : 317,450.78 = 145,140 : x
  2. Step 2: Convert to fraction form
    230,072.16/317,450.78 = 145,140/x
  3. Step 3: Cross multiply
    230,072.16x = 317,450.78 × 145,140
  4. Step 4: Simplify right side
    230,072.16x = 46,074,805,483.50
  5. Step 5: Solve for x
    x = 46,074,805,483.50/230,072.16
  6. Step 6: Final answer
    x = 200,262.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.