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Finding the Fourth Proportional to 219,402.40, 302,701.44 and 142,886.56

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Solution

The fourth proportional to 219,402.40, 302,701.44 and 142,886.56 is: 197,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,402.40 : 302,701.44 = 142,886.56 : x
  2. Step 2: Convert to fraction form
    219,402.40/302,701.44 = 142,886.56/x
  3. Step 3: Cross multiply
    219,402.40x = 302,701.44 × 142,886.56
  4. Step 4: Simplify right side
    219,402.40x = 43,251,967,468.65
  5. Step 5: Solve for x
    x = 43,251,967,468.65/219,402.40
  6. Step 6: Final answer
    x = 197,135.34

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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.