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Finding the Fourth Proportional to 142,105.76, 196,113.12 and 94,277.60

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Solution

The fourth proportional to 142,105.76, 196,113.12 and 94,277.60 is: 130,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,105.76 : 196,113.12 = 94,277.60 : x
  2. Step 2: Convert to fraction form
    142,105.76/196,113.12 = 94,277.60/x
  3. Step 3: Cross multiply
    142,105.76x = 196,113.12 × 94,277.60
  4. Step 4: Simplify right side
    142,105.76x = 18,489,074,282.11
  5. Step 5: Solve for x
    x = 18,489,074,282.11/142,105.76
  6. Step 6: Final answer
    x = 130,107.85

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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.