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Finding the Fourth Proportional to 162,546.32, 223,815.48 and 142,289.84

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Solution

The fourth proportional to 162,546.32, 223,815.48 and 142,289.84 is: 195,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,546.32 : 223,815.48 = 142,289.84 : x
  2. Step 2: Convert to fraction form
    162,546.32/223,815.48 = 142,289.84/x
  3. Step 3: Cross multiply
    162,546.32x = 223,815.48 × 142,289.84
  4. Step 4: Simplify right side
    162,546.32x = 31,846,668,838.72
  5. Step 5: Solve for x
    x = 31,846,668,838.72/162,546.32
  6. Step 6: Final answer
    x = 195,923.65

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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.