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Finding the Fourth Proportional to 142,359.72, 196,441.38 and 78,687.24

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Solution

The fourth proportional to 142,359.72, 196,441.38 and 78,687.24 is: 108,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,359.72 : 196,441.38 = 78,687.24 : x
  2. Step 2: Convert to fraction form
    142,359.72/196,441.38 = 78,687.24/x
  3. Step 3: Cross multiply
    142,359.72x = 196,441.38 × 78,687.24
  4. Step 4: Simplify right side
    142,359.72x = 15,457,430,013.99
  5. Step 5: Solve for x
    x = 15,457,430,013.99/142,359.72
  6. Step 6: Final answer
    x = 108,580.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.