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Finding the Fourth Proportional to 142,432.30, 213,514.80 and 53,745.40

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Solution

The fourth proportional to 142,432.30, 213,514.80 and 53,745.40 is: 80,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,432.30 : 213,514.80 = 53,745.40 : x
  2. Step 2: Convert to fraction form
    142,432.30/213,514.80 = 53,745.40/x
  3. Step 3: Cross multiply
    142,432.30x = 213,514.80 × 53,745.40
  4. Step 4: Simplify right side
    142,432.30x = 11,475,438,331.92
  5. Step 5: Solve for x
    x = 11,475,438,331.92/142,432.30
  6. Step 6: Final answer
    x = 80,567.67

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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.