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Finding the Fourth Proportional to 142,159.94, 196,182 and 78,502.58

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Solution

The fourth proportional to 142,159.94, 196,182 and 78,502.58 is: 108,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,159.94 : 196,182 = 78,502.58 : x
  2. Step 2: Convert to fraction form
    142,159.94/196,182 = 78,502.58/x
  3. Step 3: Cross multiply
    142,159.94x = 196,182 × 78,502.58
  4. Step 4: Simplify right side
    142,159.94x = 15,400,793,149.56
  5. Step 5: Solve for x
    x = 15,400,793,149.56/142,159.94
  6. Step 6: Final answer
    x = 108,334.27

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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.