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Finding the Fourth Proportional to 123,776.40, 185,634.81 and 57,152.49

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Solution

The fourth proportional to 123,776.40, 185,634.81 and 57,152.49 is: 85,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,776.40 : 185,634.81 = 57,152.49 : x
  2. Step 2: Convert to fraction form
    123,776.40/185,634.81 = 57,152.49/x
  3. Step 3: Cross multiply
    123,776.40x = 185,634.81 × 57,152.49
  4. Step 4: Simplify right side
    123,776.40x = 10,609,491,622.18
  5. Step 5: Solve for x
    x = 10,609,491,622.18/123,776.40
  6. Step 6: Final answer
    x = 85,714.98

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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.