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Finding the Fourth Proportional to 94,826.52, 142,278.04 and 42,200

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Solution

The fourth proportional to 94,826.52, 142,278.04 and 42,200 is: 63,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,826.52 : 142,278.04 = 42,200 : x
  2. Step 2: Convert to fraction form
    94,826.52/142,278.04 = 42,200/x
  3. Step 3: Cross multiply
    94,826.52x = 142,278.04 × 42,200
  4. Step 4: Simplify right side
    94,826.52x = 6,004,133,288
  5. Step 5: Solve for x
    x = 6,004,133,288/94,826.52
  6. Step 6: Final answer
    x = 63,317.03

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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.