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Finding the Fourth Proportional to 281,126.25, 387,946.80 and 166,410.81

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Solution

The fourth proportional to 281,126.25, 387,946.80 and 166,410.81 is: 229,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,126.25 : 387,946.80 = 166,410.81 : x
  2. Step 2: Convert to fraction form
    281,126.25/387,946.80 = 166,410.81/x
  3. Step 3: Cross multiply
    281,126.25x = 387,946.80 × 166,410.81
  4. Step 4: Simplify right side
    281,126.25x = 64,558,541,224.91
  5. Step 5: Solve for x
    x = 64,558,541,224.91/281,126.25
  6. Step 6: Final answer
    x = 229,642.52

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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.