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Finding the Fourth Proportional to 285,023.77, 393,381.02 and 164,142.81

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Solution

The fourth proportional to 285,023.77, 393,381.02 and 164,142.81 is: 226,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,023.77 : 393,381.02 = 164,142.81 : x
  2. Step 2: Convert to fraction form
    285,023.77/393,381.02 = 164,142.81/x
  3. Step 3: Cross multiply
    285,023.77x = 393,381.02 × 164,142.81
  4. Step 4: Simplify right side
    285,023.77x = 64,570,666,433.82
  5. Step 5: Solve for x
    x = 64,570,666,433.82/285,023.77
  6. Step 6: Final answer
    x = 226,544.85

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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.