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Finding the Fourth Proportional to 158,954.10, 238,282.92 and 53,699.46

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Solution

The fourth proportional to 158,954.10, 238,282.92 and 53,699.46 is: 80,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,954.10 : 238,282.92 = 53,699.46 : x
  2. Step 2: Convert to fraction form
    158,954.10/238,282.92 = 53,699.46/x
  3. Step 3: Cross multiply
    158,954.10x = 238,282.92 × 53,699.46
  4. Step 4: Simplify right side
    158,954.10x = 12,795,664,131.22
  5. Step 5: Solve for x
    x = 12,795,664,131.22/158,954.10
  6. Step 6: Final answer
    x = 80,499.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.