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Finding the Fourth Proportional to 142,209.46, 213,430.83 and 72,108.82

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Solution

The fourth proportional to 142,209.46, 213,430.83 and 72,108.82 is: 108,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,209.46 : 213,430.83 = 72,108.82 : x
  2. Step 2: Convert to fraction form
    142,209.46/213,430.83 = 72,108.82/x
  3. Step 3: Cross multiply
    142,209.46x = 213,430.83 × 72,108.82
  4. Step 4: Simplify right side
    142,209.46x = 15,390,245,302.92
  5. Step 5: Solve for x
    x = 15,390,245,302.92/142,209.46
  6. Step 6: Final answer
    x = 108,222.37

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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.