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Finding the Fourth Proportional to 103,041.24, 142,509.96 and 92,427

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Solution

The fourth proportional to 103,041.24, 142,509.96 and 92,427 is: 127,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,041.24 : 142,509.96 = 92,427 : x
  2. Step 2: Convert to fraction form
    103,041.24/142,509.96 = 92,427/x
  3. Step 3: Cross multiply
    103,041.24x = 142,509.96 × 92,427
  4. Step 4: Simplify right side
    103,041.24x = 13,171,768,072.92
  5. Step 5: Solve for x
    x = 13,171,768,072.92/103,041.24
  6. Step 6: Final answer
    x = 127,830.06

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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.