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Finding the Fourth Proportional to 223,046.24, 307,701.14 and 142,433.42

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Solution

The fourth proportional to 223,046.24, 307,701.14 and 142,433.42 is: 196,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,046.24 : 307,701.14 = 142,433.42 : x
  2. Step 2: Convert to fraction form
    223,046.24/307,701.14 = 142,433.42/x
  3. Step 3: Cross multiply
    223,046.24x = 307,701.14 × 142,433.42
  4. Step 4: Simplify right side
    223,046.24x = 43,826,925,708.10
  5. Step 5: Solve for x
    x = 43,826,925,708.10/223,046.24
  6. Step 6: Final answer
    x = 196,492.56

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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.