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Finding the Fourth Proportional to 132,142.44, 198,211.93 and 32,303.51

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Solution

The fourth proportional to 132,142.44, 198,211.93 and 32,303.51 is: 48,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,142.44 : 198,211.93 = 32,303.51 : x
  2. Step 2: Convert to fraction form
    132,142.44/198,211.93 = 32,303.51/x
  3. Step 3: Cross multiply
    132,142.44x = 198,211.93 × 32,303.51
  4. Step 4: Simplify right side
    132,142.44x = 6,402,939,991.06
  5. Step 5: Solve for x
    x = 6,402,939,991.06/132,142.44
  6. Step 6: Final answer
    x = 48,454.83

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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.