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Finding the Fourth Proportional to 142,594.71, 196,801.43 and 82,153.59

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Solution

The fourth proportional to 142,594.71, 196,801.43 and 82,153.59 is: 113,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,594.71 : 196,801.43 = 82,153.59 : x
  2. Step 2: Convert to fraction form
    142,594.71/196,801.43 = 82,153.59/x
  3. Step 3: Cross multiply
    142,594.71x = 196,801.43 × 82,153.59
  4. Step 4: Simplify right side
    142,594.71x = 16,167,943,580.87
  5. Step 5: Solve for x
    x = 16,167,943,580.87/142,594.71
  6. Step 6: Final answer
    x = 113,383.89

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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.