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Finding the Fourth Proportional to 140,429.22, 193,792.14 and 75,898.38

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Solution

The fourth proportional to 140,429.22, 193,792.14 and 75,898.38 is: 104,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,429.22 : 193,792.14 = 75,898.38 : x
  2. Step 2: Convert to fraction form
    140,429.22/193,792.14 = 75,898.38/x
  3. Step 3: Cross multiply
    140,429.22x = 193,792.14 × 75,898.38
  4. Step 4: Simplify right side
    140,429.22x = 14,708,509,482.73
  5. Step 5: Solve for x
    x = 14,708,509,482.73/140,429.22
  6. Step 6: Final answer
    x = 104,739.67

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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.