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Finding the Fourth Proportional to 162,472.82, 223,714.05 and 142,216.34

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Solution

The fourth proportional to 162,472.82, 223,714.05 and 142,216.34 is: 195,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,472.82 : 223,714.05 = 142,216.34 : x
  2. Step 2: Convert to fraction form
    162,472.82/223,714.05 = 142,216.34/x
  3. Step 3: Cross multiply
    162,472.82x = 223,714.05 × 142,216.34
  4. Step 4: Simplify right side
    162,472.82x = 31,815,793,397.58
  5. Step 5: Solve for x
    x = 31,815,793,397.58/162,472.82
  6. Step 6: Final answer
    x = 195,822.25

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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.