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Finding the Fourth Proportional to 205,443.63, 307,639.35 and 142,176.15

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Solution

The fourth proportional to 205,443.63, 307,639.35 and 142,176.15 is: 212,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,443.63 : 307,639.35 = 142,176.15 : x
  2. Step 2: Convert to fraction form
    205,443.63/307,639.35 = 142,176.15/x
  3. Step 3: Cross multiply
    205,443.63x = 307,639.35 × 142,176.15
  4. Step 4: Simplify right side
    205,443.63x = 43,738,978,371.50
  5. Step 5: Solve for x
    x = 43,738,978,371.50/205,443.63
  6. Step 6: Final answer
    x = 212,900.14

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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.