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Finding the Fourth Proportional to 142,141.00, 196,154.53 and 81,723.46

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Solution

The fourth proportional to 142,141.00, 196,154.53 and 81,723.46 is: 112,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,141.00 : 196,154.53 = 81,723.46 : x
  2. Step 2: Convert to fraction form
    142,141.00/196,154.53 = 81,723.46/x
  3. Step 3: Cross multiply
    142,141.00x = 196,154.53 × 81,723.46
  4. Step 4: Simplify right side
    142,141.00x = 16,030,426,191.58
  5. Step 5: Solve for x
    x = 16,030,426,191.58/142,141.00
  6. Step 6: Final answer
    x = 112,778.34

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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.