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Finding the Fourth Proportional to 123,706.44, 185,407.65 and 57,054.06

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Solution

The fourth proportional to 123,706.44, 185,407.65 and 57,054.06 is: 85,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,706.44 : 185,407.65 = 57,054.06 : x
  2. Step 2: Convert to fraction form
    123,706.44/185,407.65 = 57,054.06/x
  3. Step 3: Cross multiply
    123,706.44x = 185,407.65 × 57,054.06
  4. Step 4: Simplify right side
    123,706.44x = 10,578,259,187.56
  5. Step 5: Solve for x
    x = 10,578,259,187.56/123,706.44
  6. Step 6: Final answer
    x = 85,510.98

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