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Finding the Fourth Proportional to 142,566, 196,792.92 and 82,950

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Solution

The fourth proportional to 142,566, 196,792.92 and 82,950 is: 114,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,566 : 196,792.92 = 82,950 : x
  2. Step 2: Convert to fraction form
    142,566/196,792.92 = 82,950/x
  3. Step 3: Cross multiply
    142,566x = 196,792.92 × 82,950
  4. Step 4: Simplify right side
    142,566x = 16,323,972,714.00
  5. Step 5: Solve for x
    x = 16,323,972,714.00/142,566
  6. Step 6: Final answer
    x = 114,501.16

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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.