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Finding the Fourth Proportional to 168,957.11, 233,135.72 and 102,619

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Solution

The fourth proportional to 168,957.11, 233,135.72 and 102,619 is: 141,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,957.11 : 233,135.72 = 102,619 : x
  2. Step 2: Convert to fraction form
    168,957.11/233,135.72 = 102,619/x
  3. Step 3: Cross multiply
    168,957.11x = 233,135.72 × 102,619
  4. Step 4: Simplify right side
    168,957.11x = 23,924,154,450.68
  5. Step 5: Solve for x
    x = 23,924,154,450.68/168,957.11
  6. Step 6: Final answer
    x = 141,598.98

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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.