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Finding the Fourth Proportional to 164,852.40, 227,431.92 and 107,559.12

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Solution

The fourth proportional to 164,852.40, 227,431.92 and 107,559.12 is: 148,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,852.40 : 227,431.92 = 107,559.12 : x
  2. Step 2: Convert to fraction form
    164,852.40/227,431.92 = 107,559.12/x
  3. Step 3: Cross multiply
    164,852.40x = 227,431.92 × 107,559.12
  4. Step 4: Simplify right side
    164,852.40x = 24,462,377,175.11
  5. Step 5: Solve for x
    x = 24,462,377,175.11/164,852.40
  6. Step 6: Final answer
    x = 148,389.57

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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.